Chicago tried to find an equaliser and almost did through an ambitious effort from Mike Magee, as he attempted to lob Brad Friedel from distance, but his shot went just over the bar.
Erik Lamela nearly doubled his side's lead when he ran at the Fire defence and fired a powerful shot at goal which forced Sean Johnson into tipping the ball over.
After the break, Tottenham's new signing Ben Davies tried to register his first goal for the club as he raided to the edge of the area, but he put his left-footed shot wide of the target.
The Fire were presented with a great chance to get back in the game when Michael Dawson lost possession in his own half, but the defender managed to make amends as he blocked Matthew Fondy's goalbound shot.
Tottenham secured their win when Roberto Soldado lifted a ball over the top for Lennon to chase and the winger evaded the challenge of Jhon Kennedy Hurtado and rounded the keeper to place the ball into an empty net.
Christian Eriksen could have made it three late on, but Kyle Reynish managed to speed off his line and make a block with his feet to deny the forward.