Same thing happened to me last spring with my Honda EU22i after it sat in the motorhome over winter. Classic carburettor issue — old petrol goes stale surprisingly quickly, and the lighter fractions evaporate leaving behind a varnish that gums up the jets.
First thing I'd try is draining the carb bowl completely. There's usually a small drain screw at the bottom. Let it all out, then put fresh fuel in and attempt a start. Sometimes that's genuinely all it takes.
If that doesn't crack it, the main jet is almost certainly partially blocked. On most inverter generators you can access it without pulling the whole carb off — a bit fiddly but doable on the driveway with basic tools. A carb cleaner spray and a thin piece of wire or a proper jet cleaning tool works wonders. Do not use a drill bit — I learned that one the hard way and had to order a new jet.
Going forward, there are two schools of thought:
- Run the carb completely dry before storage (let it stall itself out)
- Use a fuel stabiliser like Briggs & Stratton or Sta-Bil in the tank over winter
I've switched to the run-dry method and haven't had the problem since. Takes about five minutes and saves a world of bother come March.
What generator have you got? Some makes are genuinely more prone to this than others. The Chinese units with budget carbs seem to varnish up faster in my experience. Worth knowing before you start pulling things apart.