Let's get our terminology straight:
"Turns over." This should be used to describe that the engine rotates when you twist the key on the starter, other wise known as "cranking."
"Fires" or "Tries to fire" or "tries to start." "Fires" and similar mean that when you "crank" it the engine coughs, sputters, may run on it's own for a second or two or more OR MAY start and keep running
"Starts" Same as above except means actually runs for a short time OR runs and keeps running
"Runs" Good or bad, rough or smooth, means the engine continues to operate on it's own
You sound like you mean that it is CRANKING but will not FIRE or RUN
This could be a number of things.......timing, if you did something that could have changed that, or if something went wrong with the distributor, ignition system, distributor drive, or even camshaft
Could be fuel......lack of, too much, stale/ sour fuel, etc etc.
First thing I'd do is check for both spark and fuel. Use a test gap or plug "rigged" to the coil wire or better yet an extra wire core coil wire
Pump the throttle while looking down the carb throat to see if the acellerator pump is providing fuel. If not, could mean the carb is not getting fuel, could mean there are internal problems with the carb