The 'Only Girl (In The World) hitmaker is so upset she missed the couple's wedding in India last month due to work commitments that she has apologised by arranging a lavish second honeymoon in Tokyo for them costing £30,000.
A source told The Sun: 'Rihanna hasn't stopped apologising since the wedding day. She told Katy she'd been racking her brains about how to make it up to them.
'She knows how much Katy loves Tokyo, so this way she could give them a trip they would always remember.'
The generous holiday package includes four nights in the £1,500 Dynasty suite at Tokyo's Mandarin Oriental hotel and first class flights.
Russell and Katy will be delighted with Rihanna's gift of a second honeymoon as their first was reportedly ruined by a spider.
The pair flew to the Soneva Fushi resort in the Maldives after their Indian wedding but plans for a romantic holiday were spoilt after the 'Firework' hitmaker was bitten by a spider and treated with medication that left her too exhausted to consummate the marriage.
Katy - who had imposed a one-month sex band before tying the knot - fell foul of the insect almost immediately after arriving at the £8000-a-night resort and was left with a rash on her legs, forcing her to seek medical advice.