Crews from Lancaster, Morecambe and Bolton-le-Sands were called to the fire on Mainway, Lancaster at around 9.30pm yesterday evening (22 December).
Firefighters arrived to the fire on the second floor of a 12-storey block to find the kitchen window orange with flames.
Crews equipped with breathing apparatus used a hosereel jet to extinguish a fire.
Two women were given a precautionary check by paramedics but neither woman was hospitalised.
The flat suffered significant damage, say fire services.
The cause of the fire is currently under investigation.