Madjid Bougherra netted the first with a close-range header from a Darren Ambrose corner after six minutes and Luke Varney increased the home side's lead four minutes later after sprinting into the Blackpool penalty area before firing low into the net.
A well struck 25-yard shot out of the blue by Ben Burgess got Blackpool back into the game, but some more poor defending by the visitors allowed Charlton to re-establish their two-goal cushion.
Varney's pace caused more problems and his low cross was turned into the net by Zhi Zheng.
Blackpool keeper Paul Rachubka denied Charlton skipper Matt Holland with a fine save, and had it not been for the impressive form of the visiting keeper then the Lancashire side would have lost by an even bigger score.
He made two great saves in the last five minutes to deny Varney and Holland, but he had no chance with Charlton's fourth goal.
Zheng netted his second of the game when he slotted home a rebound after Bougherra's header had come back off the post.
Charlton look far more comfortable playing in their 4-4-2 system, but this was a disappointing performance by Blackpool, whose recent good results had seen them go four matches unbeaten in the Championship.
Charlton manager Alan Pardew is still likely to dip into the transfer market despite his side's convincing victory and is thought to be interested in bringing in a striker and a defender.