The fan club, which goes by the name Deepika First Day First Show Club, tweeted, "We are your first fans. We pledge to see every film of yours on the first day."
"Hundreds of us have done this today across India and those who unfortunately couldn't today will do it tom. We love you Deepika Padukone. #DP1stDay1stShow," it added.
Deepika returned the gesture by posting a collage featuring photos of people who went to see the first show of "Padmaavat".
Directed by Sanjay Leela Bhansali, "Padmaavat", which also features Shahid Kapoor and Ranveer Singh, released today.