The American star attacker saw his shot deflect past American goalkeeper Tim Howard, but it wasn't enough for Tottenham to take a result at Goodison Park.
The goal gave Tottenham a 1-0 lead at the time, and until very late on looked as though it might prove to be the winner. Everton had other plans, though. Two goals in the space of two minutes from former Tottenham winger Steven Pienaar and Nikica Jelavic turned the game on its head in stoppage time and gave Howard's Toffees a win that jumped the club into the top four of the English table.
Dempsey and Spurs are level on points with Everton despite the loss, but trail in the table on goal difference after having their three-game winning streak snapped.