A late Teemu Pukki penalty gave the visitors all three points after Marcus Tavernier saw a spot kick ruled out for the hosts.
Our Boro writer Joe Nicholson has dished out his marks from the match – scroll down and flick through the pages of our picture gallery to see how each player fared:
5. Marc Bola - 8
Kept Norwich dangerman Emi Buendia on the fringes in the first half. A disciplined defensive display. 8 Photo: Clive Brunskill
6. Jonny Howson - 8
Produced a few teasing crosses into the Norwich box and looked to push the team forward. 8 Photo: Getty Images
7. George Saville - 8
Kept Boro on the front foot in the first half, snapping into challenges and sniffing out danger. 8 Photo: Getty images
8. Djed Spence - 6
Received the ball in some good areas but went to ground too easily at times. 6 Photo: Getty Images