The counting will be held on March 11 along with five other states -- Uttar Pradesh, Punjab, Uttarakhand, Goa and Manipur which are going for assembly polls beginning February 4, the Commission said.
The by-poll was necessitated following the resignation of Amarinder from the Lok Sabha on November 23.
He had earlier announced his resignation to protest the "injustice" meted out to the people of Punjab following the November 10 Supreme Court verdict on the Sutlej-Yamuna Link (SYL) canal water sharing agreement which, he and other state Congress leaders have been opposing.
The by-poll is being held along wit the single-phased assembly polls in the state.