Are you waiting for the fuel to pressurize before engaging the starter?
You should turn the key to the "run" position"; all the idiot lights
come on, and you will here a slight "whirring" sound for 2-3 seconds.
When the whirring stops (usually followed by the check engine lamp going
out), turn the key to the cranking position.  I think you'll find the
engine catches on the 2nd-3rd crank.

--Gene

I just bought a used 2002 4 door, automatic civic LX, low mileage and would
like to know what might be a probable cause with starting the car. Anytime I
try to start the car when it has been off for a good night, it will take at
least 6 to 10 starter revs before the cars starts. However, if I restart the
car a few minutes after or even after a few hours, the car starts normally
within 2-3 starter revs. I thought that I might have a fuel issue that when
the car has been sitting for the night, gas would go back into the tank and
it would take a few starter revs before the gas came back to the engine. Is
there something I should have checked. Fuel pressure regulator, leaks ???

I naturally asked the dealer about this and they just replied that was
normal. Screw them, I know that 6-10 starter revs is too long for a car to
start. I would live with that during the winter below freezing but not
during this time of year. Any help or guidance would be appreciated