Pakistan tours to India have been called off in the past after threats by Hindu militants and Shiv Sena activists dug up a pitch in Bombay in 1991 to sabotage one.
Pakistan are expected to tour India early next year.
Asked whether Shiv Sena activists would dig up pitches to disrupt games, Thackeray was quoted as saying: "I have many ways and I don't want to spell them out now."
PTI quoted Thackeray, whose party leads a coalition government in the western state of Maharashtra, as saying that if the Board of Control for Cricket in India had "any sense of shame" it would not invite the Pakistan team.
"I am at a loss to understand why we should be so polite and diplomatic with Pakistan when they don't deserve it," PTI quoted him as saying.
Thackeray, whose party commands a huge following in Bombay, Maharashtra's capital, says India and Pakistan, which have tense relations and a bitter territorial dispute over Kashmir, should not play sport while India's soldiers suffered in border violence.
India and Pakistan share a passion for cricket that goes back to their days under colonial rule but have fought three wars since the end of British rule in 1947.
Reuters
