"We believe that Article 35A
is an obstacle in the development of the state," the BJP manifesto said, referring to the 1954 amendment to the constitution.
Political leaders in Kashmir
have warned that repealing the law would lead to widespread unrest.
Voting in the general election begins on Thursday but, with around 900 million people eligible to vote, the polls will be held around the country over coming weeks, and the votes will be counted on May 23.
Modi has made his strong stance on national security a key part of the BJP's election campaign, following a recent flare up in tensions with arch foe Pakistan, which also lays claims to Kashmir.
Surveys suggest the BJP is the front-runner going into the election, although some have said it could lose the clear majority it won five years ago.
The main opposition Congress Party led by Rahul Gandhi is seeking alliances with regional parties to thwart Modi, accusing the BJP of undermining India's secular foundations.