New distributor does not work

I been having problems with starting the car. Sometimes it cranks up and sometimes it does not. It shut off a few times completely on the road to due to power outage. Later, I found out that the distributor was bad, so bought a new one and replaced it, but now it wont crank up to start. I even checked to see if there were any spark, and there was none. When I replaced the old one back, it cranks and starts, but sometimes later in the day, it doesn't crank again. So should it be a faulty new distributor? Ignition coil? Or Igniter? Please help. This is causing me to not be able to smog for registration renewal.