The company already offers cryptocurrency cards, although these are in partnership with vendors who convert digital currency into a traditional form to then transact.
In a blog post, the company's head of digital asset products Raj Dhamodharan said: "Whatever your opinions on cryptocurrencies - from a dyed-in-wool fanatic to utter sceptic - the fact remains that these digital assets are becoming a more important part of the payments world.
"Mastercard isn't here to recommend you start using cryptocurrencies.
"But we are here to enable customers, merchants and businesses to move digital value - traditional or crypto - however they want."
Dhamodharan clarified that Mastercard will only be accepting a select set of cryptocurrencies which meet required standards of privacy, legal, security and efficiency.
Meanwhile, earlier this week it was revealed Tesla bought around $1.5 billion (£1.1 billion) of the cryptocurrency Bitcoin in January.
Elon Musk's car company has confirmed the acquisition and revealed that, one day, the firm expects to accept it as a form of payment.
In a stock market statement, Tesla said: "We expect to begin accepting Bitcoin as a form of payment for our products in the near future, subject to applicable laws and initially on a limited basis."
The announcement prompted a dramatic spike in the price of the cryptocurrency.
Indeed, at one point, the price rose by as much as 17 percent, to reach $44,220.