The former Xtra Factor presenter married Brooker in Las Vegas last summer, in what is said to have been a small, private ceremony.
Confirming the news to Digital Spy, a spokesperson said that the happy couple are expecting a baby boy. No further details about the birth have yet been made public.
Meanwhile, a source told The Sun: "Konnie and Charlie are over the moon. It is just what they wanted and all their family are thrilled."
Huq and Brooker are thought to have got together after the ex-Blue Peter host appeared in an episode of Brooker's Screenwipe.
Most recently, the couple co-wrote an episode of Channel 4's Black Mirror entitled '15 Million Merits', starring Skins actor and writer Daniel Kaluuya and Downton Abbey's Jessica Brown Findlay.
Brooker is nominated in two categories at this year's British Comedy Awards - 'Best Comedy Entertainment Personality' and 'Best Male TV Comic'.
The ceremony takes place tomorrow (December 16) and will be broadcast live at 9pm on Channel 4.
> Konnie Huq: 'Charlie Brooker is a softie'