1998 Honda Accord engine lose power

The car start fine and idel fine. When you put in drive and go down the road the car loses power while gas pedel is in the same possision. To get the car to go on just let off the gas and push it again and it will take off for a min and it will go it again until yoults off the gas pedal and push it down again. Then it will contunie doing it until you push gas to the floor and hold while in drive going down the road wide open then it will run fine. This only seams to happen when it is just starting up. When the car gets warm the problem. Dont happen again until it cools off. This car is a great car the only thing other than belts and a transmision replaced is all this from that factor. I have replaced the distributor and rotory button.

My thought was the distibutor or inside the distubutor because when it gets hot it dont have the problem.