No, besides inactive ingredients Tramadol only contains tramadol hydrochloride.
I would like to amend that. Tramadol in the form of Ultracet does contain acetaminophen. You can find some images of Ultracet here; - http://www.healthcentral.com/chronic-pain/find-drug-90587-73.html
If you look on your prescription, if acetaminophen is in the drug your prescription should have two numbers on it; one that describes how much tramadol there is and one that describes how much acetaminophen is. The bigger number will say how many mgs of acetaminophen are present.
The maximum dosage of acetaminophen allowed is 4,000 mgs a day and based on an FDA panels recommendations it will probably be lowered further to prevent liver damage in some people.