L.S.
How many hours does he sleep at night? Toddlers need approximately 12 to 14 hours of sleep in each 24-hour period. So if, for example, your child goes to bed at 8 p.m. and doesn't get up until 8 a.m., he may get his full quota of rest all at once, giving him no reason to need a nap. But if he doesn't get 12 hours at night, then ideally he should get some zzz's during the day. Now that your toddler's growing older, you'll most likely have a tougher time getting him down for a nap. Toddlers are so intent on discovering the world around them that they hate to miss out on anything, even if they're exhausted.
Here are a couple links for more information:
http://www.babycenter.com/expert/toddler/toddlersleep/764...
http://www.babycenter.com/refcap/toddler/toddlersleep/129...
I hope this info is helpful! I have two at home who decided at an early age that they didn't "need" a nap. The bright side is that they go down much earler in the evening now and bedtime is not such a struggle. Take care! L.