The warning is in place from 4am on Friday through to midday.
Public transport could be disrupted and anybody hoping to travel should be wary of ice and snow on the roads and pavements.
A statement from the Met Office warns: “A band of snowfall will push northeast into this region during Thursday and become slow-moving before clearing during Friday morning.
"Snow may fall to lower elevations for a time with some locations seeing several cm by Friday morning.
"Above 200 m elevation significant and prolonged snowfall is possible throughout Thursday and Thursday night before easing during Friday morning.
"There is potential for 15-20 cm to accumulate which may lead to transport disruption, with 30 cm possible on hills above 300-400m in a few areas.”
There is also strong winds and rain will also hit the east coast of the country.