Parking your car in the center of Amsterdam is difficult and expensive (up to E 5,- per hour). Chances are you'll get stuck in the narrow streets of the city centre, so the general advice is not to come to Amsterdam by car.
As of February 2014, there is an option to park for only 1 Euro per 24 hours in one of the P+R facilities (Park and Ride) of Amsterdam. If you enter after 10am on a working day (Monday through Friday), and then travel to the city centre, by public transport (both are necessary to get the cheap rate), you can park your car for just 1 Euro per 24 hours.
More details are on the P+R page.