The extreme conditions brought on by Storm Ciara have hit sporting schedules across the UK on Sunday with the game at the Etihad, originally set for 4.30pm, the highest-profile to go.
A statement from Manchester City said: “Due to extreme and escalating weather conditions and in the interests of supporter and staff safety, today’s match has been postponed.
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“This decision has been made by Manchester City’s Safety Officer following consultation with club stakeholders and officials at West Ham United.
“Further information regarding the rescheduling of today’s match will be published in due course.”
Tickets will remain valid for the rearranged fixture.
The sell-out Women’s Super League north London derby between Arsenal and Tottenham was one of the first fixtures to fall victim to the weather on Sunday. Manchester United's clash with Chelsea soon followed.
Other WSL games between Bristol City and Reading and Birmingham versus Reading were also postponed, as were the Championship games at Charlton, Coventry, Crystal Palace and Lewes.
All three race meetings in Britain and Ireland were abandoned because of the high winds and rain sweeping the British Isles.
The storm conditions extended to Europe where the Dutch Eredivisie and Belgian Pro League and the Belgian second tier postponed their fixtures.
Dutch champions Ajax saw their trip to Utrecht postponed, while Alan Pardew's ADO Den Haag had their game at Sparta Rotterdam called off.
The Bundesliga in Germany was also hit as the Rhine derby between Borussia Monchengladbach and Cologne fell victim to the weather.
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