Middlesbrough slipped to a second successive Championship defeat for the first time in 11 months today.
Tony Mowbray’s men, who meet Sunderland in the FA Cup a fortnight tomorrow, fell behind after just six minutes, Jay Rodriguez converting a well-worked set piece.
Kieran Trippier let fly from long range to double the Burnley lead on 28 minutes.
Rodriguez should have killed off Boro early in the second half, but the Teessiders survived, although their challenge fell short in a late, futile rally.
Boro are now five points behind leaders Southampton, who won well at Nottingham Forest.