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Depending what engine, the max towing capacity I have found is 3500 lbs. for this vehicle, expressed on a number of websites including this one:
http://www.allautoreviews.com/auto_reviews/honda/honda-odyssey.htm
That said, it will do your camper JUST BARELY, make sure not to add too much excess weight in the camper when towing.
http://www.allautoreviews.com/auto_reviews/honda/honda-odyssey.htm
That said, it will do your camper JUST BARELY, make sure not to add too much excess weight in the camper when towing.


