Re: 1990 Johnson 60 HP outboard will not restart after use
Have a spark plug wrench and a spark tester on board. When this problem pops up, remove the plugs and hook up the spark tester. The spark should jump a 7/16" gap with a strong blue lightning like flame... a real SNAP!
If no spark or a weak spark, I would suspect the stator under the flywheel which is the beginning of the ignition system. If overheated, there will be a voltage drop to the powerpack capacitor which results in weak or no ignition/spark. Usually this is accompanied by a tell tale sign of the stator having a sticky looking substance dripping down on the powerhead (look for it).
When cold, the stator may function normally (for a time) but when hot, will function as you have described. Eventually it will fail altogether.
Let us know what you find.