The incident took place in Reeve Drive just before 5pm.
Two fire engines from Leamington and one from Kenilworth atteneded the blaze, which started in a kitchen of the mid-terraced property.
Firefighters extinguished the fire using a hose reel, two breathing apparatus, hydrants, a thermal imaging camera and positive pressure ventilation equipment.
The fire emergency support service also attended from Kenilworth.
The last crew returned to their station at about 6.30pm.