It works against human papillomavirus, which can lead to cervical cancer.
Boys could also be vaccinated in the hope of eventually eradicating HPV.
Cervical cancer kills 274,000 women worldwide every year, including 1,120 in the UK.
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But it is not yet clear whether the vaccine will be available on the NHS.
Doctors stress that the vast majority of HPV cases do not go on to cause cervical cancer.
Gardasil has already been approved for use in the US, Mexico, Australia, Canada and New Zealand.