One problem related to engine burning oil has been reported for the 2013 Honda CR-V. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2013 Honda CR-V based on all problems reported for the 2013 CR-V.
Excessive oil consumption. No oil leak and not burning oil. Mechanic noted excessive oil use when he saw it was 2 quarts low on oil within 3 months use after a oil change. Mechanic found no cause for this so it must be inside the engine or drive train. Car is used for local flat driving. No towing, racing, mountains, etc.