It is understood the take-up of the service has outstripped its capabilities and the delay will involve, in part, the reworking of server capacity to deal with the problem.
Michael Hill, managing director of Radioplayer, said: "We know there's enormous demand for Radioplayer, and, although it is easy and intuitive to use, it's a very complex technology project under the bonnet. We're going to take a few more weeks to make sure it will be a brilliant user experience for industry and consumers."
The much-heralded service is a joint venture between the BBC and several commercial radio networks including Global, GMG Radio and Absolute, represented by industry body RadioCentre.
When it is finally up and running, Radioplayer will provide up to 350 stations online. The player has already been through a "phased rollout", which began in December last year and was expected to culminate in a full consumer launch this month.
The service will add several aspects to the listener experience, including social functionality that lets the listener interact with others listening to the same radio stream.
The service is unlikely to be stand-alone and it is more likely Radioplayer will link with established social network sites, with Facebook and Twitter as distinct possibilities.
The new player will also be equipped for podcasts.
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