What you are seeing is classic decompression failure.
Remove the rocker cover and adjust the valve lash as per the manual you will find in the link below.
Depending upon our model it may decompress on either the inlet or exhaust.
To check it you first adjust the valve lash then poke a skewer down the plug hole then watch the rockers.
Just before top dead centre either the inlet or exhaust will open a tiny amount this is the decompression.
http://www.mymowerparts.com/pdf/Kohler-Service-and-Repair-Manuals/