The warning is in place throughout today (Monday( with the risk of falling branches or debris.
Despite the blustery conditions, temperatures will reach around 20C during the day, dropping to 12C overnight.
Sunny intervals are expected later in the afternoon, but showers will persist, some of which may be heavy.
Residents are advised to be cautious when travelling and to secure any outdoor furniture or loose items.
Tuesday, September 16, will see a change to calmer weather.
Clear overnight skies will keep temperatures fresh, with lows of around 12C to 13C.
The day will be brighter and more settled, with sunny intervals and light winds.
Temperatures will again peak at 20C, though cloud will build in the evening, leading to a more unsettled night.
Wednesday, September 17, is expected to be the wettest day of the week.
Widespread light to heavy rain is forecast, with a 90 per cent chance of precipitation during the morning rush hour.
The rain will continue throughout the day, though it should ease by the evening.
Despite the rain, temperatures will remain steady at around 20C during the day and 17C at night.
Thursday, September 18, will see a marked improvement as the unsettled front clears eastwards.
Skies will gradually brighten, with sunny intervals dominating the afternoon.
Temperatures will rise to 23C, with lows around 16C, providing a late-summer feel.
The fine spell will continue into Friday, September 19.
Sunny intervals are expected, with temperatures peaking at 23C.
It will turn slightly cooler overnight at around 14C.
The weekend, however, looks less settled.
Saturday, September 20, will be largely cloudy, with temperatures struggling to rise beyond 20C and nighttime lows dipping to 11C.
There is a chance of light showers, though the outlook is mostly dry.
By Sunday, September 21, fresher conditions will arrive, with more sunshine breaking through.
However, it will feel cooler, with highs of just 17C and overnight temperatures falling to 9C – the lowest of the week.
In summary, Londoners begin the week with disruptive winds under a Met Office yellow warning, making today the most unsettled in terms of hazards.
The midweek period turns wet with prolonged rainfall on Wednesday, before a warm and sunnier window on Thursday and Friday.
Conditions then cool into the weekend, with a return to cloudier skies and fresher nights.
After a blustery and wet start, the week ahead offers a short spell of late-summer warmth before autumnal weather edges in by Sunday.