Curbs on the surrogacy industry in neighbouring Thailand and India sparked a boom in the unregulated baby business in impoverished Cambodia, with Australian couples in particular turning to the kingdom.
But late last year Cambodian authorities banned commercial surrogacy and refused to legalise birth certificates for babies.
This prevented foreign parents - many believed to be Australians - from taking the children out of the country, although the couples were able to travel in and out of Cambodia.
"We will allow parents who have surrogate babies born (before the ban) to take them out," according to Chou Bun Eng, secretary of state at the Ministry of Interior.
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She said foreign couples had to follow the law and show a DNA match in order to claim their babies, while the surrogate's husband had to testify that the baby did not belong to him.
"We will facilitate the process and will not create any difficulty for the parents," she said.
But she warned that parents tempted to try to take their children out of Cambodia illegally would face criminal charges.
Surrogacy agencies started springing up in the Southeast Asian nation after India and Thailand blocked foreigners from the services following a flurry of scandals and concerns about exploitation
With cheap medical costs and no laws excluding gay couples or single parents, Cambodia quickly soaked up much of the demand.