The `You Da One` singer is a huge fan of the Oscar-winning actress and says she`s very envious of her lifestyle and her amazing body.
She said: "I`m obsessed withGwyneth. Honestly, what is it not? It makes me so jealous all the time ... her body ... I`m really jealous of her, I don`t even know why I like her."
As well as being impressed withGwyneth, Rihanna was very flattered when the blonde beauty`s husband Chris Martin covered her song `We found Love` with his band Coldplay.
During an appearance on 2Day FM`s Kyle and Jackie O Show, she said: "Honestly it`s flattering and special to know that other musicians appreciate your music ... To have a band like Coldplay that was just surreal, and if I love it, that`s extra points.
"I know Coldplay, we collaborated together, we worked in the studio, shot a video just recently."
The 23-year-old pop beauty - who recorded the duet `Princess of China` with the band - also spoke about posing in her underwear and say she only feels confident about it because she knows the images will be Photoshopped.
When asked if she was comfortable being in her underwear, Rihanna said: "Totally, especially when it`s Photoshopped. I`m comfortable in my underwear around the right people."