Bwark was established in 2004 by former Channel 4 commissioning editors Iain Morris and Damon Beesley, who wrote and produced three series of The Inbetweeners for E4. A film version of the hit comedy is due to be released next month.
The company has also produced comedy drama Free Agents for Channel 4, Angelo's for Channel 5, and BBC Two's The Persuasionists.
The deal marks Zodiak's first major acquisition since it purchased RDF Media Group last summer. Mark Lesbirel, currently director of publishing and home entertainment at Zodiak Rights, will join Bwark as its new managing director.
Bwark becomes part of Zodiak's UK, Netherlands and Belgium division run by chief executive Joely Fether.
She said: "Since they founded Bwark seven years ago, Iain and Damon have firmly established their position as two of the UK's most talented comedy writers and producers.
"The Inbetweeners sits proudly among the best classic comedy series of the last decade and it's incredibly exciting to have their talent and ability within the Zodiak Group. We are hugely excited about working with Iain and Damon to grow our comedy output in the UK and, over the coming years, in the US as well."
In a joint statement, Beesley and Morris said: "It's the start of a new chapter for Bwark and we could not be more excited about working together with Joely, Mark and the rest of the Zodiak team.
"We're looking forward to benefitting from the Zodiak group's global network to build on our existing successes and future hit comedies. With the announcement of this deal and The Inbetweeners Movie released next month, it feels like a landmark summer for Bwark."