George Saville capitalised on a defensive mix-up to put Tony Pulis's side in front and Britt Assombalonga sealed victory in stoppage time as Boro cut Leeds United's lead to one point.
Sheffield United moved into sixth spot after a 0-0 draw with Birmingham City.
Big-spending Nottingham Forest won for only the second time in the league this season, with summer signings Lewis Grabban and Joao Carvalho on target in a 2-1 defeat of Sheffield Wednesday that moved them into mid-table.
(Reporting by Martyn Herman, editing by Ed Osmond)
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