Residents and tourists have been advised not to venture out on the high hills as chances of snapping of road links were high.
The western disturbances -- storm systems originating from Caspian Sea and moving across the Afghanistan-Pakistan region -- will be active in the region till Thursday, Met Office Director Manmohan Singh told IANS.
Under the influence of an active western disturbance, rain and snowfall is likely to occur at many places on Tuesday and at most places on the subsequent two days, he said.
Chances of heavy snowfall at some places in Kullu, Chamba, Lahaul-Spiti, Shimla, Kangra and Kinnaur districts from Wednesday.