The virtual currency reached the benchmark for the first time, just days after it passed $9,000.
It caps a remarkable rise in value for the crypto-currency, which was trading below $1,000 at the start of the year.
Many industry watchers believe the rapid rise in value will not be sustained and expect its value to suddenly fall sharply.
Bitcoin first reached $1,000 in late-2013 and then dipped significantly before starting a volatile climb to its current value.
This would have altered the way Bitcoin's underlying technology, the blockchain, worked, to help it handle more transactions.
The total value of all the bitcoins in existence has now surpassed $167bn.
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