The forecaster said wet surfaces caused by recent rain are likely to freeze as temperatures fall close to or below freezing.
“Icy patches will be possible on untreated surfaces for a time on Sunday night into Monday morning”, a spokesperson said.
“The extent of cloud cover across parts of Wales and central southern England is more uncertain, which will influence whether temperatures fall sufficiently low enough to allow ice to form.
“A few fog patches may pose an additional hazard.”
The yellow warning for ice is in place from 9pm tonight (Sunday) until 9am tomorrow morning (Monday).
What to expect (according to the Met Office)
Some injuries from slips and falls on icy surfaces
Probably some icy patches on some untreated roads, pavements and cycle paths