Snow, with a risk of widespread ice, is likely to push slowly northeast during Tuesday, bringing difficult travel conditions, according to the Met Office.
Areas affected include south west Scotland, Lothian Borders, Central, Tayside and Fife, Grampian, the Highlands and the Strathclyde area.
The forecaster has predicted that the snowy and icy conditions will begin at 10pm ton Monday and will last until 11.59 pm tomorrow (Tuesday) for the majority of Scotland.
However, the yellow warning of snow and ice will continue through the whole of Wednesday, February 3 for certain parts of the country.
Areas which will see further spells of snow and ice include Angus, Perth and Kinross, Stirling, Aberdeenshire, Moray, Dumfries and Galloway, Midlothian Council, Scottish Borders, Argyll and Bute, East Ayrshire, South Lanarkshire and the Highlands.
Across Scotland, possible travel delays on roads stranding some vehicles and passengers are expected with bus and train services potentially delayed or cancelled.
Some road closures and longer journey times are possible with possible delays or cancellations to air travel.
Some rural communities could become cut off and power cuts may occur as well as other services – such as mobile phone coverage – being affected.
The Met Office has also warned that there will be a chance of injuries from slips and falls on icy surfaces with the potential for some untreated pavements and cycle paths being impassable in the affected areas.
The continued snowy and icy conditions on Wednesday are predicted to cause further travel disruptions in affected places, especially on routes over high ground.
A Met Office spokesperson said: “A band of rain, locally heavy in places, is likely to push slowly northeast across parts of the UK.
"As this rain comes into contact with cold air in place, it is likely to readily turn to snow away from eastern coastal districts.
"1-4 cm of snow is quite likely away from eastern coasts, with 5-10 cm possible in places, most likely across southern Scotland and above 150 m over northern England.
"Potential for 20 cm or more across higher parts of the northern England and Scotland.
"As well as snow, a period of freezing rain is possible for parts of east Wales and the north Midlands.
"Should this occur widespread icy stretches would form.
"Snow should turn back to rain from the south, lasting longest across parts of northern England and Scotland.
On Wednesday, areas such as the Grampians are predicted to see a heavy snowfall.
A Met Office Spokesperson added: “Further spells of snow, heavy at times, will continue to affect parts of northern England and Scotland during Wednesday.
“Snow is most likely to fall on higher ground, mainly above 200 to 300 metres. Significant accumulations of 10 to 20 cm are possible, perhaps as much as 40 cm across the Grampians.
“This amount of snow could bring disruption to travel across trans-Pennines routes and the higher roads across the Southern Uplands and Grampians.”