The Fox Star India production, directed by Gautham Vasudev Menon, remakes Tamil blockbuster Vinnaithandi Varuvaaya with Liverpool model Jackson in the title role.
The former Miss Teen World posted on Twitter: "GUYS!!! My first Bollywood movie trailer is out @ekkdeewanatha YAY!! Tell me what you think?? (sic)"
Jackson, who is currently in India promoting the film, added: "My 1st ever Christmas in 19 years without my family & friends but I've found a whole new family here in Mumbai & I love u guys so much :)"
The movie's AR Rahman soundtrack was recently unveiled at the Taj Mahal.
The story is said to revolve around an upcoming filmmaker from Mumbai who falls in love with a woman from a strict orthodox Christian family.
Jackson began her film career with a number of South Indian projects.
Ekk Deewana Tha is scheduled for release on February 17.
Watch the theatrical trailer below: