The "fair chance scheme" will allow properties to be marketed locally only for a fixed period.
Commenting on the news, Welsh Conservative Shadow Housing Minister, Janet Finch-Saunders MS said:
“This scheme appears to be promoting discrimination against house buyers who do not speak Welsh. This is, of course, completely unacceptable. Immediate clarification on this policy is needed from the Labour Government.
“As a nation of sanctuary, there should be no prejudice against people looking to buy a house in Wales.
“We should not forget that these paltry policy tweaks and voluntary schemes will not address the underlying problem that is the Labour-caused housing crisis.
“There is no escaping the fact that Labour are only delivering half of the homes Wales needs in order to meet demand. This is Labour’s housing crisis and they are failing to deliver for local communities across Wales.”