In an eco-run control, determination of a stop of an internal combustion
engine (1) is reliably and promptly made. An internal combustion engine
stop-start control apparatus for executing a control of stopping the
internal combustion engine (1) upon satisfaction of a predetermined stop
condition, and for executing a control of starting the internal combustion
engine (1) upon satisfaction of a predetermined start condition, has: stop
request determination means (step S1) for determining that there is a
request for stopping the internal combustion engine (1) based on
satisfaction of the stop condition; and stop determination means (steps
S2, S4) for determining a stop of the internal combustion engine (1) based
on a state of a predetermined physical quantity that changes in relation
to operation of the internal combustion engine (1), the state occurring
within a predetermined determination time (Ten), and for setting the
determination time (Ten) shorter if the request for stopping the internal
combustion engine (1) is present than if the request is absent.