Detectives are investigating claims of sexual abuse against children alleged to have taken place onboard two of Cunard's most luxurious cruise liners.
It is claimed that a crew member committed assaults on the Queen Mary 2 and its sister vessel the Queen Elizabeth.
Wiltshire Police confirmed an investigation had been launched and they would be contacting all the parents who they needed to speak to.
The force also said it was working closely with the NSPCC and the children's charity had staff available to speak to parents if they wanted counselling or advice.
The Mail on Sunday reported that detectives started the investigation after a tip-off and that the unnamed man, who is under investigation, lived in Wiltshire.
A Wiltshire Police spokeswoman told the newspaper: "We can confirm we are investigating historical allegations of child abuse by an employee of Cunard cruise liners.
"Inquiries continue. The employee no longer works for the company."
And a force spokeswoman said: "We are unable to confirm any details at this time due to an ongoing investigation. However, we would like to reassure parents and the public that the police will be contacting all of the parents they need to speak to in the course of the investigation.
"If you are still concerned and would like some professional advice then you can call the dedicated NSPCC number 0800 980 4502. The NSPCC have advisors available who are aware of this matter and can assist parents if they have concerns about their children."
Cunard is part of the Carnival Corporation group - owners of the Costa Concordia, which ran aground off the coast of Italy - and operates the Queen Mary 2, the Queen Victoria and Queen Elizabeth cruise liners offering luxurious ocean travel.