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Bethan Britton was seen emerging from the actor's Cardiff apartment, wearing his pyjamas, at 2am on Wednesday, The People reports. Tennant apparently stood in the doorway while she put a parking permit on her car and returned to him.
The report says Tennant met Britton on set at BBC South Wales, where she is a contracts assistant, earlier this year.
They were also seen together at a pub in the Cardiff area last week. An onlooker commented: "They sneaked in and sat in a corner, chatting quietly.
"They kept a low profile but were all over each other, holding hands and giggling like naughty teenagers. They make a lovely couple."
A source added of the relationship: "David has had relationships with actresses but their filming commitments always make it very hard. He loves the fact that Bethan has got a normal job but is still in the TV industry."
Tennant split up with actress Sophia Myles last month.
