Massa started karting when he was eight years old for seven years before moving up to the Formula Chevrolet Brazil in 1998. He finished 5th in his rookie season before joining Team MasterCard in the season for his second year. He took 3 wins out of 10 races and took home the championship win. From there, Massa moved to the Formula Renault 2000 Eurocup and 2000 Italy with Cram Competition. He took 3 wins out of 9 races in Eurocup and 4 wins out of 8 races in Italy to win both championships. In 2001, he then joined Draco Junior Team in the Euro Formula 3000 where out of 8 races, he took six wins and six pole positions to win the championship. He also competed in the European Supertouring Championship with Team Nordauto where he finished 23rd and the 24 Hours of Sicily with Alfa Romeo where he finished second.
In 2002, Felipe graduated to Formula One for his first season with Sauber Petronas. Out of his 16 races, he took 4 points and finished 13th in his rookie year. Then, in 2003, he switched to Scuderia Ferrari Marlboro as a test driver. He returned to Formula One full time in 2004 when he rejoined Sauber Petronas. His second year was much better as he took 12 points to finish 12th in the standings. He stuck with the team for a third year where he finished 13th. In 2006, Massa made the movie to Scuderia Ferrari Marlboro full time where he took 7 podiums, of which 2 were wins, and finished 3rd in the standings. He stuck with the team for the 2007 where he took 10 podiums, of which 3 were wins, placing him 4th in the standings. Massa spent a third year with the team in 2008 where he took 10 podiums, of which 6 were wins and finished second in the standings. His fourth year wasn’t as positive as he finished 11th with a single podium.
Massa remained with Ferrari through until 2013 placing 6th in 2010 and 2011, 7th in 2012 and 8th in 2013. He took 5 podiums in 2010, 2 in 2012 and 1 in 2013. He made the move from Ferrari to Williams Martini Racing in 2014. He took 3 podiums in his first year with the team to finish 7th. In his second year, he finished 6th with two podiums before finishing 11th in both 2016 and 2017 to finish off his Formula One career.
In 2018, Felipe joined Cimed Racing in the Stock Car Brasil series.
FIA Formula E
Massa debuted in the FIA Formula E during the 2018 to 2019 season with Venturi Formula E Team. He took a single podium to finish 15th in the standings. He currently races with the team, who changed to ROKiT Venturi Racing, for the 2019 to 2020 season where he currently sits at 19th in the standings.