Air, spark and gas. Needs all three to run. I would eliminated the spark at each plug first to make sure that you are getting spark at the cylinders. Check the points in the distributor since those can close up. If that doesn't work, then check the carb. It might be bad gas. If it you think it has water in it, replace the gas and try.
I think the godfather once said that 99% of carb problems are electrical, so check the points, set the timing. While you are at it, adjust the valves. A complete tune up should fix it all.