Honda and the National Highway Traffic Safety Administration announced the recall Saturday.
The government agency said owners should park CR-Vs from those model years outside until the recall is performed, to avoid any property damage from a fire. A fire could start even when the ignition is off and the CR-V is parked.
The problem involves around 268,000 vehicles. Honda said rain or other liquids could enter through a driver's open window and damage the master power switch on the door. If that happens, the switch could overheat and melt, causing a fire.
Honda said owners have reported four fires, but have been no injuries or crashes associated with the issue.
The company will begin contacting owners next month and will repair the vehicles for free.
It was the third major recall this week for the Japanese automaker, which usually sits near the top in J.D. Power and Associates' annual rankings of vehicle quality.
Earlier this week, the company said it was recalling 820,000 Civic compact and Pilot SUVs from the 2002 through 2004 model years because the headlights can fail. CR-Vs were recalled earlier this spring for that same issue.
Honda also said this week that it's recalling 600,000 Accord midsize cars because a faulty power steering house can leak and cause a fire. That recall affects Accords with V6 engines from the 2003 to 2007 model years.
NHTSA also announced earlier this week that it's investigating complaints that Honda Odyssey minivans and Pilot SUVs can roll away after drivers remove the ignition key. That investigation involves vehicles from the 2003 and 2004 model years.