All UK passport holders can enter the US under the Visa waiver programme. You have to answer a series of questions and provided that you can say no to all of them, then you don't need to apply for a Visa. If you cant answer alll the questions in this way then you do need to apply for a Visa.The vast majority of UK citizens qualify for the Visa Waiver programme. if you are in any doubt, check the US Consulate website. I can confirm that like the airlines, the ship will provide you with both the Visa Waiver form (one to be completed by each passenger) and a US Immigration Form (one to be completed by each family

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Entering NY on a cruise ship is the same as entering on a plane - you get the visa waiver form to complete

When I did the QM2 back from New York I didn't need to get a Visa. The airline provided a form to be completed which was handed into the immigration stations on entry. If you enter the US by sea then the cruise line should supply this form for you to complete. The only real exceptions are if you have to declare any criminal convictions or anything like tha