Under a new agreement with the Fédération Française de Tennis (FFT), the French Open will remain on Eurosport for three years, from 2012 through 2014.
The US Open will stay on the pan-European sports broadcaster through to 2017 after it agreed a deal with the United States Tennis Association (USTA).
Eurosport said that coverage of both events will be shown on its television channels, but also online and on mobile devices via the Eurosport Player streaming service.
ITV will also cover the French Open in May, after the UK broadcaster poached the free-to-air TV rights to the tournament from the BBC last year.
Eurosport deputy managing director Geraldine Filiol said: "We are delighted to extend our partnership with these two premium tennis properties, with whom we have built strong relationships over the years. These deals ensure that Eurosport remains a major partner of the tennis world in Europe.
"Tennis Grand Slams are indeed a perfect fit for our Group's multi-screen strategy: not only Eurosport delivers these events anywhere and on any device, but we also ensure that all this terrific content is made available to fans via Eurosport Player multi-court service."
> Tennis eyes digital as audiences dwindle
FFT director of media and sponsorship Michel Grach added: "The FFT has enjoyed a privileged partnership with Eurosport for over 20 years, and we are pleased to renew this healthy collaboration for a further three years.
"The world's premier clay event will be available to more fans throughout Europe than ever before, in line with our ambitious distribution strategy to enhance and increase multi-screen and multi-lingual coverage of Roland Garros."
Eurosport has just finished its television coverage of the Australian Open after signing a multi-year deal to the Grand Slam last year. Novak Djokovic won the tournament after a marathon final against Rafael Nadal.
> Australian Open ball boy's impressive catch goes viral - video