While it is possible for multiple currencies to exist simultaneously and lead to more voluntary transactions, "in the real world, some of these now-enabled transactions may be illegal or quasi-legal," he said.
He added: "Cryptocurrencies may unwittingly be pushing in the wrong direction in trying to solve an important social problem, which is how best to facilitate market-based exchange."
Bullard's comments come as regulators are struggling with how to address a wave of newly created digital "currencies" being used to raise funds for businesses, among a host of other uses.
Fed Chairman Jerome Powell said earlier this month that plans by Facebook Inc to build a digital currency called Libra "cannot go forward" until serious concerns are addressed, comments that pressured the project and dented the price of the original cryptocurrency bitcoin.