While all of the suggestions have been decent ones, I agree with GeorgeSanJose that this is most likely to be a case of a malfunctioning torque converter lockup mechanism. On many transmissions, this can be remedied without opening up the transmission case, but I have to say that I don't know for sure whether that is true for Honda automatics.
However, what I do know about Honda automatics of that era is that they are more trouble-prone than the automatics on most other makes, so I would strongly suggest that the OP take it to an independent trans shop (NOT a chain-run place like Lee Myles, Cottman, Mr. Transmission, or--God forbid--AAMCO) for diagnosis. Even if it turns out that only an external electronic component on the trans needs to be replaced, having the fluid and filter changed would be an extremely good idea, in order to try to extend the life of the transmission.
Since ONLY genuine Honda trans fluid should be used in these transmissions, make sure you remind the trans shop that you don't want any substitutes, and that you will pay extra for the genuine item.
And, yes, it is nice to see that there are still a few people left who know the difference between a shudder and a "shutter". Now, if only a few more people knew the difference between "brakes" and "breaks"...