The clothing brand and the singer started collabarating earlier this year, and are also planning a spring 2013 fashion collection called Rihanna for River Island.
The gig is at a secret location and forms part of Rihanna's '777' tour, in which she will play in seven cities in seven countries, over seven days.
It is also distributing 1.5 million promotional cards for a download of a bonus track of Rihanna's number-one single, 'Diamonds'.
Josie Roscop, marketing director at River Island, said the brand was "giving exclusive access and content by bringing fashion and music together in a way we think our customers will love".
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