Hajj is one of the five pillars of Islam, thereby it is mandatory for all Muslims to perform it at least once in their lifetime, provided they are financially and physically able to do so. It is a pilgrimage performed by Muslims to the Holy city of Makkah, in the month of Dhul-Hijjah (the last month of the Islamic calendar). The end of the pilgrimage is marked by the Muslim festival of Eid-ul-Adha when Muslims all over the world sacrifice animals (under the outlined conditions) according to their financial capability.
There are several Ayah present in the Holy Book which provides us with guidance as to how to perform Hajj. Surah Al-Baqarah addresses several questions that might cross the mind of a person about how to perform Hajj, serving as a complete guide outlining the acts that are forbidden, the acts that are allowed and the acts that are mandatory. Ayah of Surah Al-Imran describes the significance of the Holy city of Makkah highlighting it as the first place of worship and reiterating it by mentioning Ibrahim (AS). Other aspects of Hajj have been discussed in Surah Al-Maida, Al-Imran, Tawba, Al-Hajj, and Fath. All the ayah concerning Hajj have been shared below.
From Surah Al-Baqarah:
And [mention] when We made the House a place of return for the people and [a place of] security. And take, [O believers], from the standing place of Abraham a place of prayer. And We charged Abraham and Ishmael, [saying], "Purify My House for those who perform Tawaf and those who are staying [there] for worship and those who bow and prostrate [in prayer]." (2:125)
Indeed, as-Safa and al-Marwah are among the symbols of Allah. So whoever makes Hajj to the House or performs 'umrah - there is no blame upon him for walking between them. And whoever volunteers good - then indeed, Allah is appreciative and Knowing. (2:158)
They ask you, [O Muhammad], about the new moons. Say, "They are measurements of time for the people and for Hajj." And it is not righteousness to enter houses from the back, but righteousness is [in] one who fears Allah. And enter houses from their doors. And fear Allah that you may succeed. (2:189)
And complete the Hajj and Umrah for Allah. But if you are prevented, then [offer] what can be obtained with ease of sacrificial animals. And do not shave your heads until the sacrificial animal has reached its place of slaughter. And whoever among you is ill or has an ailment of the head [making shaving necessary must offer] a ransom of fasting [three days] or charity or sacrifice. And when you are secure, then whoever performs 'umrah [during the Hajj months] followed by Hajj [offers] what can be obtained with ease of sacrificial animals. And whoever cannot find [or afford such an animal] - then a fast of three days during Hajj and of seven when you have returned [home]. Those are ten complete [days]. This is for those whose family is not in the area of al-Masjid al-Haram. And fear Allah and know that Allah is severe in penalty. (2:196)
Hajj is [during] well-known months, so whoever has made Hajj obligatory upon himself therein [by entering the state of ihram], there is [to be for him] no sexual relations and no disobedience and no disputing during Hajj. And whatever good you do - Allah knows it. And take provisions, but indeed, the best provision is fear of Allah. And fear Me, O you of understanding. (2:197)
There is no blame upon you for seeking bounty from your Lord [during Hajj]. But when you depart from 'Arafat, remember Allah at al- Mash'ar al-Haram. And remember Him, as He has guided you, for indeed, you were before that among those astray. (2:198)
Then depart from the place from where [all] the people depart and ask forgiveness of Allah. Indeed, Allah is Forgiving and Merciful. (2:200)
And when you have completed your rites, remember Allah like your [previous] remembrance of your fathers or with [much] greater remembrance. And among the people is he who says, "Our Lord, give us in this world," and he will have in the Hereafter no share. (2:200)
But among them is he who says, "Our Lord, give us in this world [that which is] good and in the Hereafter [that which is] good and protect us from the punishment of the Fire." (2:201)
And remember Allah during [specific] numbered days. Then whoever hastens [his departure] in two days - there is no sin upon him, and whoever delays [until the third] - there is no sin upon him - for him who fears Allah. And fear Allah and know that unto Him you will be gathered. (2:203)
From Surah Al-Imraan:
Indeed, the first House [of worship] established for mankind was that at Makkah - blessed and a guidance for the worlds. (3:96)
In it are clear signs [such as] the standing place of Abraham. And whoever enters it shall be safe. And [due] to Allah from the people is a pilgrimage to the House - for whoever is able to find thereto a way. But whoever disbelieves - then indeed, Allah is free from need of the worlds. (3:97)
From Surah Al-Maida:
O you who have believed, fulfill [all] contracts. Lawful for you are the animals of grazing livestock except for that which is recited to you [in this Qur'an] - hunting not being permitted while you are in the state of ihram. Indeed, Allah ordains what He intends. (5:1)
O you who have believed, do not violate the rites of Allah or [the sanctity of] the sacred month or [neglect the marking of] the sacrificial animals and garlanding [them] or [violate the safety of] those coming to the Sacred House seeking bounty from their Lord and [His] approval. But when you come out of ihram, then [you may] hunt. And do not let the hatred of a people for having obstructed you from al-Masjid al-Haram lead you to transgress. And cooperate in righteousness and piety, but do not cooperate in sin and aggression. And fear Allah; indeed, Allah is severe in penalty. (5:2)
O you who have believed, Allah will surely test you through something of the game that your hands and spears [can] reach, that Allah may make evident those who fear Him unseen. And whoever transgresses after that - for him is a painful punishment. (5:94)
O you who have believed, do not kill game while you are in the state of ihram. And whoever of you kills it intentionally - the penalty is an equivalent from sacrificial animals to what he killed, as judged by two just men among you as an offering [to Allah] delivered to the Ka'bah, or an expiation: the feeding of needy people or the equivalent of that in fasting, that he may taste the consequence of his deed. Allah has pardoned what is past; but whoever returns [to violation], then Allah will take retribution from him. And Allah is Exalted in Might and Owner of Retribution. (5:95)
Lawful to you is a game from the sea and its food as provision for you and the travelers, but forbidden to you is a game from the land as long as you are in the state of ihram. And fear Allah to whom you will be gathered. (5:96)
From Surah Al-Tawba:
So travel freely, [O disbelievers], throughout the land [during] four months but know that you cannot cause failure to Allah and that Allah will disgrace the disbelievers. (9:2)
Indeed, the number of months with Allah is twelve [lunar] months in the register of Allah [from] the day He created the heavens and the earth; of these, four are sacred. That is the correct religion, so do not wrong yourselves during them. And fight against the disbelievers collectively as they fight against you collectively. And know that Allah is with the righteous [who fear Him]. (9:36)
Indeed, the postponing [of restriction within sacred months] is an increase in disbelief by which those who have disbelieved are led [further] astray. They make it lawful one year and unlawful another year to correspond to the number made unlawful by Allah and [thus] make lawful what Allah has made unlawful. Made pleasing to them is the evil of their deeds, and Allah does not guide the disbelieving people. (9:37)
From Surah Al-Hajj:
And proclaim to the people the Hajj [pilgrimage]; they will come to you on foot and on every lean camel; they will come from every distant pass. (22:27)
And [mention, O Muhammad], when We designated for Abraham the site of the House, [saying], "Do not associate anything with Me and purify My House for those who perform Tawaf and those who stand [in prayer] and those who bow and prostrate. (22:26)
That they may witness benefits for themselves and mention the name of Allah on known days over what He has provided for them of [sacrificial] animals. So eat of them and feed the miserable and poor. (22:28)
Then let them end their untidiness and fulfill their vows and perform Tawaf around the ancient House. (22:29)
For you the animals marked for sacrifice are benefits for a specified term; then their place of sacrifice is at the ancient House. (22:33)
And [mention, O Muhammad], when We designated for Abraham the site of the House, [saying], "Do not associate anything with Me and purify My House for those who perform Tawaf and those who stand [in prayer] and those who bow and prostrate. (22:36)
From Al-Fath:
Certainly, has Allah showed to His Messenger the vision in truth. You will surely enter al-Masjid al-Haram, if Allah wills, in safety, with your heads shaved and [hair] shortened, not fearing [anyone]. He knew what you did not know and has arranged before that a conquest near [at hand]. (48:27)