The series tells the true story of the disappearance of Shannon Matthews and the repercussions on the local community.
Shannon was found 24 days after she went missing from her home in Dewsbury in 2008.
The first episode of the two-part series was watched by an average of 7.2 million viewers on Tuesday evening.
Read some of the reviews below:
Read the full reviews from The Telegraph, Metro, The Daily Mail, Radio Times, The Independent, The Guardian and The Times.
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The first episode of BBC One drama The Moorside, which stars Sheridan Smith, has been warmly received by critics.