According to the owners manual it can tow up to 1,500 pounds. I would be very cautious to tow anything heavy, these small SUV's are not designed for towing..
Honda lists the official towing capacity at 1500lbs.
towing capacity 2013 crv
1500 lbs is the towing capacity of a 2006 Honda CRV
2007 Honda CRV has a tow rating of 1500 pounds, 3000 pounds with added trailor brakes.
The towing capacity of the 2008 Honda CR-V is approximately 1,500 pounds when properly equipped. This capacity applies to both the front-wheel drive and all-wheel drive models. It's important to consider the vehicle's load and ensure that any towing complies with Honda's guidelines for safety and performance. Always refer to the owner's manual for specific details and recommendations.
According to the Honda UK Web site, the 2008 Honda Fit has a towing capacity of 1,000 pounds.
Maximum towing capacity is 3,500 pounds.
The towing capacity of the Honda Accord 2002 EX Sedan is 1000 pounds.
Honda does not recommend you tow anything with the Honda Fit therfore there is no towing capacity.
The towing capacity of a 2004 Honda Civic is 1500 pounds. Care must be taken to not overload the vehicle or the drivetrain.
Maximum towing capacity is 1,000 pounds. That includes the weight of the trailer.
5000 lbs towing according to Honda and a 1500 payload cap so not bad!