Proposed changes to EU law would force companies that transfer Bitcoin or other crypto-assets to collect details on the recipient and sender.
The proposals would make crypto-assets more traceable, the EU Commission said, and would help stop money-laundering and the financing of terrorism.
The Commission argued that crypto-asset transfers should be subject to the same anti-money-laundering rules as wire transfers.
"Given that virtual assets transfers are subject to similar money-laundering and terrorist-financing risks as wire funds transfers... it therefore appears logical to use the same legislative instrument to address these common issues," the Commission wrote.
While some crypto-asset service providers are already covered by anti-money-laundering rules, the new proposals would "extend these rules to the entire crypto-sector, obliging all service providers to conduct due diligence on their customers," the Commission explained.
Under the proposals, a company transferring crypto-assets for a customer would be obliged to include their name, address, date of birth and account number, and the name of the recipient.