If grown for fruit keep short and cut back hard to the first few buds on last years growth. By that I mean leave just a few buds from last year. You'll get bigger and better fruit and easy of picking. Also netting is easier if birds are a pest.
If grown as an ornamental as well as fruit central leader like an apple pruned to size you find pleasing.
As with all fruit trees remove dead, crossing (rubbing) branches and those growing towards the trunk.
Japanese persimmons are very forgiving.
Hope that helps.
Mike

Prune it after severe cold possibilities are over, you don't want too much dieback and your zone is not far from the coldest they take. I haven't pruned my persimmons yet but its about time to start on them. I am about done the apples, plums, and pears and peaches and grapes and persimmons are up next.

Mike's advice on pruning sounds good to me. I have used vase but find central leader is easier on persimmons, it calms down their desire for vertical growth. Having several leaders like in a vase seems to put them in competition with one another. If the vase has only a few vase-branches it should be OK, my problem was when I had too many. I also stub the upper branches like Mike does, maybe leaving a few more buds than he does.

Scott

I'll add that the leader I leave each season is the weaker of the bunch you will have to chose from. Again helps stop the vertical growth. I of course prune back the leader I do leave as above.

Mike