Son picked up the ball on the edge of his area before sprinting the length of the pitch - leaving a trail of Burnley players in his wake - and slotting in to give Spurs a 3-0 half-time lead.
That all but sealed victory after Harry Kane had thumped the home team ahead and Lucas Moura converted a second from close range.
Burnley had chances of their own in the first half, hitting the woodwork through Robbie Brady, but paid dearly for their defensive vulnerability.
