You need to get an adjustable spark tester, available at auto stores for ten or fifteen bucks. Test with both plugs pulled. I start at about a half inch, and work back looking for spark. 1/4 inch is considered adequate for operation. Additionally, you may be losing spark during operation ("dropping a cylinder"). You check that by carefully pulling off plug boots, one at a time, and check response. If no change, that cylinder is not firing. (The motor can run on one cylinder.) If you have inadequate or sporadic spark, you need to troubleshoot. (Start with the connectors at the plug boots.) At this point, you would normally pull the flywheel: check for cracking coils (replace), or dirty points (clean and reset). You may end up replacing coils, points, condensers and wires.
all standard stuff. Question as you go. Also try the "link and sync" suggested above -- adjusting to insure the throttle and carb are synchronized (a sticky or two on this procedure).
It's also common to go back into a carb if there is any doubt about cleaning or condition (your call, as you did a rebuild). There is also the potential for fuel pump rebuilding or replacement, as was mentioned above.
But get a tester and check the spark.