In the center of Dordrecht, you can park in several parking garages, on the street with license plate entry or for free in the Weeskinderendijk parking lot. The parking garages are indicated by route signs indicating whether there are still free parking spaces.
On Saturdays ride the city bus to the center for free from parking lot Weeskinderendijk. NOTE: this is only on Saturdays on presentation of your parking pass. Check out 9292.nl and check the timetable of bus stop 'Weeskinderendijk Beneden' to see which city buses go to the center.