You should jump the starter to make sure the starter is OK and able to get power from the battery. Put transmission in neutral (or park if automatic), set parking brake, leave key off. Go under the hood and unplug the small wire on the starter. Connect a test wire from the small terminal on the starter to battery (+). The engine should crank.
Assuming that test passes, on manual Civics the switch on the clutch pedal is a common cause of not cranking.
Last edited by mk378; 11-18-2011 at 08:26 PM.