Checking the Ignition System(Fire)The easiest way* to check for a spark is to remove the spark plug from the engine and then reattach the spark plug wire to the spark plug. When you remove the spark plug, check to make sure the spark plug is not dirty or too worn, as this can cause problems.
Next, position the spark plug so that the end of the spark plug makes contact with a piece of grounded metal on the engine.The spark plug should be positioned close to the grounded piece of metal and should be away from the engine.
When you turn over the engine, either by pulling the pull cord or activating the electric starter, you should be able to see a spark jump from the spark plug to the grounded metal. The spark is visible and typically looks bluish in color.
If the spark plug was wet with gasoline the engine might be flooded, too much gasoline, Caused by too closing the choke too far or a bad carburetor.
If you are getting good spark and or it isn't flooded, it's the fuel system. Fresh fuel in the tank, check the fuel line to the carburetor, if it's getting fuel then the carburetor is the problem.
If you used E10 gasoline it can turn some fuel lines to gum and raise heck with plastic and pot metal fuel system parts. I have a Sthil and the maker of my pressure washer, it has a Honda 13 HP engine, both recommend non ethanol gasoline.
I presume you have already tried choking more or less and different throttle positions. Each engine has a best starting configuration. The owners manual might be help with those settings.
When you shut it down for the winter nest time put so gas stabilizer in the fuel, even when you run it 'till it stops there is gasoline still in the lines and carburetor.