Saeed, who currently heads the LeT's front organisation Jamaat-ud-Dawah, made the remarks while speaking at a programme organised by the Nawa-i-Waqt media group in Lahore on Thursday.
Alleging that India was "facilitating terrorist activities inside Pakistan", he said, "We have every right to use the Kashmir door to teach India a lesson."
He said India should "quit Kashmir as early as possible" as any "delay would prove harmful" for it.
Saeed acknowledged that the arrival of the United States and its allies in the region after the 9/11 terror attacks had dealt a blow to what he claimed was the "freedom movement" in Jammu and Kashmir.
The US had "pressurised Pakistan and gave India a free hand to erect fences along the Line of Control", he claimed.
