The 4 part miniseries was co-produced by Tom Hanks and is based on a 2008 novel by Elizabeth Strout.
McDormand has been nominated for a Golden Globe Award for her role as a well-meaning, retired schoolteacher and her relationship with husband Henry (Richard Jenkins) which spans 25 years.
It also features Martha Wainwright, Peter Mullan and Bill Murray.
This aired in the US in November.
Academy Award winner Frances McDormand and Academy Award nominee Richard Jenkins star in the four-part HBO Miniseries drama Olive Kitteridge, a film by Academy Award-nominated director Lisa Cholodenko.
Based on Elizabeth Strout’s Pulitzer Prize-winning novel of the same name and written by Emmy-winner Jane Anderson, Olive Kitteridge tells the poignantly sweet, acerbically funny, and devastatingly tragic story of a seemingly placid New England town wrought with illicit affairs, crime and tragedy, told through the lens of Olive, whose wicked wit and harsh demeanour mask a warm but troubled heart and staunch moral centre.
The story, which spans 25 years, focuses on Olive, a middle- school math teacher, and her relationships with her husband Henry, the good-hearted town pharmacist, their son Christopher, who chafes at his mother’s parenting style, and other denizens of their community.
Tuesdays from January 13 at 7.30pm on Showcase.