Both warnings for East Lothian are part of wider warnings covering much of the south of Scotland, with the whole region expected to be affected.
Forecasters believe the winds could cause travel disruption, power cuts and damage to buildings in the coming days.
A status yellow warning is the lowest level of alert.
Strong winds and stormy weather are set to batter the capital this week.
Nicola Maxey, spokesperson for the Met Office, said the cool weather will bring the risk of hail and thunder by tomorrow.
The Midlands could be battered by more strong winds and torrential downpours overnight.
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"Some restriction to roads and bridges are also possible".
The warning was in place for most of northern England and Wales.
Meanwhile, scattered showers are expected for a time this morning, mainly in southwestern, western and northern areas but Met Eireann said it will be mainly dry and bright this morning. There is also a lower likelihood of flooding affecting homes and businesses.
Autumnal weather arrived to parts of Britain today as wind and rain set in during the afternoon.
Very strong winds with speeds of 55-65mph look increasingly likely with wind speeds potentially reaching 75mph in exposed areas.
Motorists are being warned to be vigilant if driving during the expected severe weather conditions.