Channel 4 said the allegations were "very serious", and the British government said on Tuesday there must be "consequences for criminality or wrongdoing".
Married at First Sight is an international reality TV franchise inspired by a Danish original, with editions in countries including the US, Australia and South Africa.
Strangers are matched by experts and move in together after mock wedding ceremonies.
Two women who appeared on the British show say they were raped by their on-screen husbands, and a third claims she was subjected to a non-consensual sexual act.
The claims were made during an investigation by the BBC current affairs program Panorama.
The BBC said the claimants had not contacted the police, and the men involved disputed the allegations.
Conservative MP Caroline Dinenage, who heads the House of Commons culture, media and sport committee, told the BBC the show clearly involves "an element of risk".
"It's a TV show that almost expects and anticipates people that have only just met will have to become really quite intimate with each other," she told the BBC.
"They're expected to share a bed and a life together within minutes of meeting. It almost feels like an accident waiting to happen."
The UK version of the program is made by independent production company CPL.
It has run for 10 seasons on Channel 4, with an 11th scheduled for broadcast in 2026.
CPL did not immediately respond to a request for comment.
The broadcaster said the show was produced under "some of the most comprehensive and robust welfare protocols in the industry", including background checks, a code of conduct setting out behavioural standards and "daily contributor check-ins with a specialist welfare team".
It has ordered a review of its welfare standards and procedures.
"I want to express my sympathy to contributors who have clearly been distressed after taking part in Married at First Sight UK," Channel 4 chief executive Priya Dogra said.
"The wellbeing of our contributors is always of paramount importance."
The claims are the latest incident to spark debate in Britain about the ethics of reality TV and the pressures placed on participants.
Two former contestants on the show Love Island died by suicide in 2018 and 2019 and the show's former presenter, Caroline Flack, took her own life in 2020.
1800 RESPECT (1800 737 732)
National Sexual Abuse and Redress Support Service 1800 211 028
Lifeline 13 11 14
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