The 18-year-old has made four substitute appearances for the Chelsea first team following his arrival in 2007.
Bruma became a professional last summer and since then has made both his full Chelsea and Netherlands debuts whilst also guiding the Chelsea youth team to the FA Youth Cup last season.
Speaking to the club's official website, Bruma said: "I am very happy to stay here."
Bruma thanked the Chelsea staff for recognising his improvement but conceded that even more improvement would need to be made to stake a claim for a regular first-team spot.
"I have been working to improve all the time I have been here and a next step is getting your next contract, and now it is time to improve again," he said.
"I often speak to [assistant first team coach] Paul Clement because when I came over here as a 15-year-old and was in the youth team, he was the youth team manager. We sit down and lay out a sheet of targets. We did this when we were away in the Champions League in Milan last season.
"I have made my international debut already and that was the aim for two or three years' time. It has come so early and when you reach your targets you obviously have to set new ones, so my new targets are to play as much as I can at Chelsea in the first team and get in the Dutch full squad again as soon as I am fit."
Bruma will now be looking to progress to the Chelsea first-team after appearing in the Carling Cup last year.
The champions allowed Ricardo Carvalho to move to Real Madrid earlier in the transfer window and Bruma could be seen as the long term replacement for the Portuguese international, should his development continue.