The striker capped a performance to remember with a clinical fifth goal on the night, receiving a pass from Nacer Chadli before planting a shot into the far corner.
Harry had earlier fired in a fine equaliser with further goald from Andros Townsend, Danny Rose and Nacer securing the victory.
MOTD JANUARY GOTM - RESULT
Harry Kane for Spurs vs Chelsea - 26%
Andy Carroll for West Ham vs Swansea - 15%
Yaya Toure for Manchester City vs Sunderland - 13%
Rickie Lambert for Liverpool vs Aston Villa - 12%
David Nugent for Leicester City vs Liverpool - 11%
Sammy Ameobi for Newcastle United vs Hull City - 9%
Scott Arfield for Burnley vs QPR- 6%
Wilfried Bony for Swansea vs QPR - 4%
Jack Colback for Newcastle United vs Burnley - 3%
Leroy Fer for QPR vs Swansea City - 3%