I will guess this is a Tecumseh engine and you have spark so here we go;
Clamp off the fuel line, remove the carb bowl, release the clamp to see if you have good fuel flow to the carb, raise the float to see that it shuts off the flow with minimal pressure, clean the junk from the bowl, clean the bowl nut, 2 holes close to the bottom and a tiny one about midway up(I usually use the wire from a twist tie), spray all holes, cracks and crevases with brake parts cleaner, reassemble and you should be good to go. If this didn't work it will be probably be necessary to rebuild the carb. If I missed something one of the real mechanics will post to help further. Refer to the photo below for reference only. Have a good one . Geo
http://i190.photobucket.com/albums/z120/geogrubb/tec_bowl_nut.jpg
Clamp off the fuel line, remove the carb bowl, release the clamp to see if you have good fuel flow to the carb, raise the float to see that it shuts off the flow with minimal pressure, clean the junk from the bowl, clean the bowl nut, 2 holes close to the bottom and a tiny one about midway up(I usually use the wire from a twist tie), spray all holes, cracks and crevases with brake parts cleaner, reassemble and you should be good to go. If this didn't work it will be probably be necessary to rebuild the carb. If I missed something one of the real mechanics will post to help further. Refer to the photo below for reference only. Have a good one . Geo
http://i190.photobucket.com/albums/z120/geogrubb/tec_bowl_nut.jpg