The Indian Doctor stars Sanjeev Bhaskar as a medic who moves to Wales in the 1960s. The show was recently honoured at the Royal Television Society Programme awards.
Meanwhile, Land Girls focuses on a group of people working for the Women's Land Army during the Second World War.
Writing on the BBC's TV Blog, controller of daytime Liam Keelan said: "A record number of you (well over 400) posted your appreciation... on this blog for our recent daytime drama The Indian Doctor, so I'm absolutely delighted to tell you first that I have just recommissioned it for a second series. I can also reveal that our wonderful World War Two period drama Land Girls is also returning for a third series."
Keelan, who suggested that The Indian Doctor may not return until next year, explained that he is pleased that the two series have been so popular.
"I commission programmes on BBC One and Two daytime, and it's fantastic to see a series resonate so strongly with you, our viewers," he wrote. "Bringing more drama to daytime is something I care passionately about."
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