For women officers in the Met, a third (32 percent) are overweight, 16 per cent are obese and 2 percent are morbidly obese.
Tom Winsor, who has carried out the widest-ranging review of police pay and conditions in more than 30 years, said those who fail the test three times should be subject to disciplinary procedures and a pay cut.
Mr Winsor said: ''It is clear that the existing pay system is unfair and inefficient.
''It was designed in 1920 and has remained largely unchanged since 1978.''
Mr Winsor said: "I think the public will be surprised that after passing a fitness test at the point of entry, except in special units like firearms, physical fitness is not tested again in a 30, 35-year career."
An initial annual test requiring officers to reach level 5:4 on the bleep test should be brought in by September next year, he said.
This is equivalent to an average speed of 8.8kph (5.5mph) for three minutes 35 seconds, he said.
But this should get tougher by September 2018, along similar lines to the test currently used in Northern Ireland.
This includes climbing over walls and pulling bodies and was designed to reflect situations which "police officers do and can become involved in".
Former West Midlands chief constable Sir Edward Crew, who worked on the review, said: "We are not looking for supermen."
Mr Winsor predicted that many officers would welcome the proposals, saying they would see it "as a necessary protection for themselves and the public".
INVEST IN YOUR UNDERWEAR The most important part of a woman's wardrobe is her underwear, which can transform you from lumpy and bumpy to smooth and sculpted. Soozie Jenkinson, he
New research from the Children of the 90s project suggests that teenage girls who are too thin may be at risk of osteoporosis in later life. It has long been known that the amount