It was a tale of two halves for both sides in terms of quality. The first half lacked technical adeptness, composure on the ball, and quickness of passing before frustrations mounted and tensions flared in the box in the 44th minute when Boro's Antonio Barragan was barged to the ground by Stephen Ward.
Middlesbrough's Alvaro Negredo had the best scoring opportunity with an acrobatic volley in the 67th minute, but the fine effort was matched by Tom Heaton's sharp reflex save.
In the 85th minute, Patrick Bamford of Boro brought a long ball down with a beautiful first touch and seemed in on goal if it wasn't for Michael Keane's cynical challenge from behind.
Mired in an 0-6-8 Premier League stretch since beating Swansea City on Dec. 17, Middlesbrough (4-12-15) sit in the middle of the relegation zone.
Burnley (10-6-16) are 12th.