The warning, which applies to southwestern Scotland until 6pm, includes the area west of Dumfries as well as including Stranraer. There is the possibility of homes being flooded, while bus and train services are likely to be affected with journey times taking longer.
Spray and flooding on roads could also mean that journeys could take longer.
Met Office Meteorologist Alex Deakin said that rain would emerge earlier in Scotland and Northern Ireland on Tuesday leading to unsettled and wet conditions.
In contrast eastern England will enjoy largely “pleasant” and dry weather with the possibility of temperatures reaching highs of 24C.
He said: “Here comes the next weather system, though turning into a pretty wet night for Northern Ireland.
“And that rain really starting to pop up and by dawn over southwestern parts of Scotland.
“Elsewhere those largely clear skies will allow temperatures to drop down to single figures through central and eastern parts of England certainly in rural areas.
“But a fine sunny start here on Tuesday. And actually for much of eastern England, it’s going to be a pretty pleasant summer’s day.
“But further west, a wet start for Northern Ireland and a wet old day for western parts of Scotland.
READ MORE: Wimbledon wash out: Heavy rain to POUR over tennis championships
“Much of eastern Scotland, northern Scotland looking dry.
“Much of eastern England as well with sunny spells feeling quite pleasant 20 to 23 possibly even 24C.
“But blustery and increasingly wet conditions on this western coast means it will feel pretty cool for the time of year.
“The weather front will continue to work its way eastwards through Tuesday evening.
“Tending to break up a little as it goes so the rain won’t be as persistent.
“But nevertheless turning fairly soggy it looks like through the night across much of northern England and the Midlands.”