Engine Cutting Out! What to check?

67Dart273 said

LOL he's running points

It could be as simple as a worn distributor, a weak spring on the points, or just not set correctly AND AS MENTIONED a bad condenser. Points type systems MUST have a good condenser to fire. The condenser (capacitor) does not just keep the points from burning, it also GENERATES the spark along with the coil.

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I was agreeing with you up until this post. The condenser doesn't generate the spark. I'ts there to help prevent the points from burning up & for noise suppression. The spark is generated in the coil when the primary field collapses & then transfers energy to the secondary side when the points open & break the primary circuit & the electricity has to find it's way back to ground. The points & condenser are the control side of the ignition, not the high voltage side. A shorted condenser however may prevent the ignition to work.

Having said all that, to the OP I'd suggest checking the voltage while running at the coil primary + terminal & verify that you have good voltage. Repair any troubles you have there. A bad alternator can cause trouble if the voltage is too high or too low. Next check the secondary side for anything that creates higher than normal resistance. Cap, Rotor, Wires & Coil & even plugs that are "new" can have problems.