The Olympic diver, 23, and 43-year-old Black, a screenwriter, shared the news on Instagram with photos of themselves holding an ultrasound printout on Wednesday, February 14.
The couple got married in a service at Bovey Castle Hotel on Dartmoor, Devon, in May previous year.
One wrote: "My heart is bursting, I'm so happy for you both".
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Daley has hinted at the couple's plan to start a family in the past.
Ahead of his husband's move to London, Tom opened up about his long-distance relationship with Dustin. We're both lucky to have supportive families and we want to share that with our own children'.
The couple began a romance in 2013 and Daley came out as gay in December of the same year.
Daley and Black married at Bovey Castle in Devon, England, in May after several years of dating.
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"Our relationship is far from ideal".
"Quite honestly, we talked about marriage within the first two weeks after seeing each other the first time in LA", he told Out magazine in 2016.
Sources previously told Us Weekly that Daley wasn't bothered by the 20-year age gap between him and the American writer.
'And it's something that was really, really tough and we've had to make massive and dramatic changes in our lives in order to be able to live together and see each other all the time.
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But Rohit seems to have devised a plan to escape the wrath of the captain: Just score big and make up for Kohli's wicket . Kohli is likely to go with the same playing XI , as Kedar Jadhav continues to struggle with a hamstring injury.