An oil cooling system of an air-cooled engine for cooling the oil reserved
in a crankcase of the engine comprises a base plate assembled to the
crankcase, an overlapping plate assembled to the base plate; an oil
filter supported in the overlapping plate; and radiation fins formed on
the base plate and the overlapping plate, wherein the base plate includes
an inlet port for receiving the engine oil discharged from an oil pump of
the engine, an outlet groove for outputting the engine oil and a first
passage groove connecting the inlet port and the outlet groove, the
overlapping plate includes an inlet groove opposed to the inlet port, an
outlet port opposed to the outlet groove and a second passage groove
opposed to the first passage groove to form an oil passage together with
the first passage groove, and the base plate and the overlapping plate
having through-holes where the filter outlet of the oil filter passes
through for the connection with the crankcase.