The announcement was made by national BJP secretary Sunil V Deodhar at a function here attended by Chief Minister Jai Ram Thakur.
Bindal replaced Satti who has been Himachal BJP chief for nine years.
With this, the death toll of snow-related mishaps has risen to four in the state since widespread snowfall last Wednesday.
In a Facebook post on Sunday night, Shimla police stated that the MeT department has issued orange warning for January 13 and yellow warning for January 16 of heavy rain and snow.
Avalanches may occur in Kullu, Shimla, Lahaul-Spiti, Kinnaur and Chamba districts till 5 pm on January 12, an SDMA official said.
Expressing concern over it, the governor in a statement said the Constitution of India extended the right to equality to every citizen.
Manali in Kullu district received snowfall on Saturday morning, whereas state capital Shimla witnessed snowfall in the afternoon.
An earthquake measuring 3.4 on the Richter scale was recorded at 10.46 a.m. on Friday, the Meteorological Office said.
Shah said that under this Act, there was no provision to take away the citizenship of anyone, even belonging to a minority community.
The meteorological department has predicted heavy rain and snowfall in the state till December 21.
Dalhousie received the highest snowfall (60 cm) in the state, followed by Kufri (20 cm), Manali (10 cm) and Shimla (8 cm), between 5.30 pm on Friday and 8.30 am on Saturday
Jai Ram Thakur had met Prime Minister Narendra Modi in New Delhi two days ago amidst reports of cabinet expansion.
In a state-level move, the Himachal Pradesh Youth Congress also dissolved executive committees of its two blocks in Bilaspur district.
The president of the state unit was appointed in January this year after the party was routed in state elections.
Mexican tourist Roman is said to have had breakfast at a restaurant in Manikaran when he felt uneasiness.