Journalists and technicians had been due to walkout next Wednesday for 12 hours.
Members of the National Union of Journalists and Bectu will now be consulted over the offer.
Unions said the latest offer is £800 for those earning below £50,000; with £650 payable on August 1, and a further £150 on January 1 2015 and £650 for those earning above £50,000; with £500 payable on August 1 and a further £150 on January 1 2015.
A BBC spokesman said: "We're pleased that the unions have suspended their strike action in order to consult their members and we hope that we will now be able to resolve this dispute.
"We are now concentrating on delivering the best coverage of the Commonwealth Games for our audiences."
Gerry Morrissey, general secretary of Bectu, said: "We welcome today's movement from management which means we now have a significantly improved offer which we believe our members should have the opportunity to consider in a ballot.
"The truth is we've seen more movement from management in these negotiations this week, than we have seen in pay talks over the past five years."