(Read more: Bitcoin ETF plan hits the 'Winkle wrinkle')
Bitcoins, which trade at about $140 to one today, use an open-source code, making the currency transparent and impossible to trade based on inside information.
"With Bitcoin, no one has a monopoly of information," Tyler Winklevoss said.
Among many attributes, bitcoins allow for users to bypass legacy banking systems, transferring value instantly and at virtually no cost. They called bitcoin "the Internet of money," making access to currency universal and free.
(Read more: Virtual robbery: Bitcoin theft on the rise)
The twins offered no specific investment ideas, but made it clear they believed in the power of bitcoin as the ultimate currency. For example, they compared it to gold as an alternative store of value, noting bitcoin's relative portability and exchangeability. It's like "gold 2.0," they said.
The brothers said bitcoin regulation was likely in the next six to 12 months, a natural step in the currency's maturation.
The Winklevosses are also attempting to ease access to bitcoin by launching an exchange-traded fund focused on the currency.
—By CNBC's Lawrence Delevingne. Follow him on Twitter @ldelevingne.