I've taken the rear bumper off my 96 civic lx, but I would assume its the same thing. Basically there are two plastic screws on the underside of the bumper, take those out. then open the trunk, there is a series of plastic tabs that hold the bumper on. those just pop out. You can either pry them out with a screw driver, or lie under the bumper and push them through. then it should come right off.

btw, i see that ur new, but you should post this in the civic forum. not the diy forum. the diy forum is for when you do a write up about how do do something. a lot of people post here asking for help, i did it too. just letting u know