The ministerial-level talks, scheduled for June 23 in Luxembourg, were "postponed at the GCC's request," according to an EU spokesman.
"The EU is obviously disappointed at the postponement and hopes that the meeting can be rescheduled soon, as EU-GCC relations are of great importance," said Michael Mann, spokesman for EU foreign policy chief Catherine Ashton.
A diplomatic source who asked not to be identified said the GCC had cited a joint statement on Bahrain adopted earlier this month in Geneva by the UN Human Rights Council as the reason behind the postponement.
The GCC consists of Kuwait, Bahrain, Oman, Qatar, Saudi Arabia and the United Arab Emirates (UAE).