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Simone Wood from London had been travelling on Yacht in Mexico when storm hit.
A search operation was launched for a British couple after Hurricane Odile struck on Sunday 14th August.
Simone Wood from London and Paul Whitehouse from Wolverhampton are thought to have been living on their yacht in La Paz for a year.
A Foreign Office spokeswoman said: "We can confirm the death of a British national, reported missing along with another British national earlier this week off the coast of Mexico.
"The Embassy is working with the local authorities and consular staff are providing assistance to both families at this very difficult time."
Paul Whitehouse had been working as a scuba diver instructor, his boss Jeanne-Marie Aubert told Heart: "Paul and Simone, his partner, were very resourceful and they would have been the first to help anybody.
We're thinking very positive thoughts knowing what his capabilities are."