Newcastle recorded their third successive Premier League victory as they capitalised on Burnley's defensive frailties to move up to 13th in the table.
Federico Fernandez's effort, which deflected in off Clarets defender Ben Mee for an own goal, and Ciaran Clark's header from a Matt Ritchie cross proved decisive for Rafael Benitez's side.
Burnley had lost their past 23 top-flight matches in which they had conceded the first two goals and, although, Sam Vokes responded for the home side - connecting with Mee's long ball to loop a header over goalkeeper Martin Dubravka from almost 18 yards - they were unable to force an equaliser.