Your 2003 Honda Odyssey has a timing belt. (3.5L V6). It should be replaced every 166,000km, along with the water pump and cooling system flush. Due to the complexity of the V-TEC system and the importance of the timing belt, only a Honda Dealership should perform this service.
It has a timing chain
Elements have timing chain
Timing belt. Started from 2006, Honda changed to timing chain.
The 2003 Honda 2.4 uses a timing chain. The timing chain will last the life of the engine.
Chain
Most Hondas do not have a timing chain. It is reported that the 2003 to 2007 models of Honda Accords have a timing chain, however.
I have a 2003 Element and just found out recently from a Honda shop that It has a timing chain that does not need changing.
Timing CHAIN - beginning with the 2002 model year.
4 cylinder 2003-2007 Honda Accords have timing chains. 6 cylinder 2003-2007 Honda Accords have timing belts.
the vehicle has a timing belt
The 2.4 liter 4 cylinder has a timing CHAIN but the 3.0 liter V6 has a timing BELT