The channel will air the NBC series - which stars The Hangover's Justin Bartha and Andrew Rannells as a gay couple who enlist the help of a surrogate - around the turn of the year, Broadcast reports.
Channel 4 head of acquisitions Gill Hay described the show as "pacey, warm and inventive", while Steve Cornish - senior vice president of Twentieth Century Fox TV distribution - called it a "perfect fit for the E4 audience".
Georgia King, Ellen Barkin and NeNe Leakes also star in The New Normal, which is one of the host of new shows ordered by NBC for its fall lineup.
The New Normal has recently caused controversy in the US after conservative group One Million Moms protested that its portrayal of gay couples "subject[s] families to the decay of morals and values" and will be "harmful to our society".
Murphy responded by predicting that the organisation "would love" the show, explaining that "their points of view are delivered with sensitivity and a certain amount of ferocity" by Barkin's character.
The New Normal will premiere in the US on September 11, 2012 on NBC.
Watch a trailer for The New Normal below: