Are you sure that you are measuring your chlorine correctly? I suspect that you are, but if you take a quart to the local pool store they will measure it for you for free.
Assuming that your measurement is correct (zero chlorine), then you haven't added enough. All organic matter in the pool needs to be oxidized before you get a chlorine residual. Also, sun and high temperatures eat up chlorine fast.
Here is a suggestion. Not sure what type of chlorine you are using, but if it is the liquid chlorine, try adding 4 oz. (1/2 cup). Let it circulate for about 30 minutes and then check your chlorine. You should get a residual. If not, add more chlorine until you do. Don't worry about overdosing. Even a high level of chlorine will dissipate over time. Don't go in if the level is above 3 ppm.
Hope this works for you.
Blair