"So, you are fighting me, not Badals/drugs. Badals also say they will fight against me. You and Badals wish to fight against me not against each other," Kejriwal, who is also the Aam Aadmi Party's national convener, tweeted.
Captain Amarinder Singh earlier had in a tweet asked Kejriwal to say from where, which constituency was he contesting the Punjab polls so that he could fight Kejriwal.
"I am not fighting Punjab elections. So, your (Amarinder's) challenge is hollow," Kejriwal said.
He expressed both amusement and amazement at the Congress leader's choice as it included neither the sitting Chief Minister Parkash Singh Badal or his deputy Sukhbir Singh Badal, nor state Revenue Minister Bikram Singh Majithia.
"We are fighting Badals/Majithia (Bikram Singh), who sunk Punjab in drugs. And you are fighting us, not them?" Kejriwal asked.
Kejriwal on Wednesday announced that AAP's Delhi legislator Jarnail Singh would contest against Chief Minister Parkash Singh Badal in Lambi in the 2017 assembly elections.