The New Zealand batting mainstay sustained the injury during the season opener against Chennai Super Kings here last Friday.
Williamson sustained the injury to his right knee while attempting a catch during the opening match at the Narendra Modi Stadium.
"It is sad to lose Kane to injury so early in the tournament. We wish him a speedy recovery, with the hope of seeing him in action very soon," said GT's director of cricket, Vikram Solanki, in a press release.
Williamson will now head home to New Zealand for further assessment, the defending champions said in the press release.
Gujarat Titans will finalise a replacement for the right-handed batter and an announcement will be made in due course.
The 32-year-old got injured following a nasty fall while fielding on the boundary during the CSK innings. He had limped off the field in the 13th over.
Williamson, who was making his Gujarat Titans debut, intercepted a ball headed for a possible six off CSK opener Ruturaj Gaikwad's bat.
He managed to palm the ball into the field of play before it bounced onto the boundary ropes. But he fell awkwardly on the ground and clutched his right knee in pain.
He was taken off after receiving on-field treatment and did not come back to bat with B. Sai Sudharsan coming on as a substitute fielder first and later he took Williamson's place in the Titans' playing XI under the Impact Player rule.
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Jerusalem (PTI): India and Israel on Thursday elevated their "time-tested" relationship to a special strategic partnership and agreed to soon firm up a "mutually beneficial" free trade deal even as Prime Minister Narendra Modi strongly backed the Gaza peace initiative, asserting that humanity must never become a victim of conflict.
Following talks between Modi and his Israeli counterpart Benjamin Netanyahu, the two sides inked a plethora of agreements to expand cooperation in areas of trade, agriculture, energy, cyberspace and digital payment.
India and Israel also vowed to expand their already close defence partnership by working towards joint development and joint production of military hardware under the framework of the transfer of technologies.
In his media statement, Modi said India's security interest is linked to peace and stability in the Middle East, adding that New Delhi fully supports the Gaza Peace Initiative.
"India's stance is clear: humanity must never become a victim of conflict. A path to peace has been created through the Gaza Peace Plan. India has fully supported these efforts," he said.
"In the future as well, we will continue dialogue and cooperation with all countries," he said.
PM Modi landed in Israel on Wednesday on a two-day visit. It is his second visit to Israel in nine years.
In his remarks, the prime minister said India and Israel have a united view that there is no place for terrorism in the world and both sides stand shoulder-to-shoulder in countering terrorism and its supporters.
"Our relationship is founded on the strong bedrock of deep trust, shared democratic values, and human sensitivities. Our bond has stood the test of every trial of time," he said.
"Today, we have taken the historic decision to elevate our time-tested partnership to the status of a 'Special Strategic Partnership'," he said.
The prime minister also announced the establishment of an India-Israel critical and emerging technologies partnership to impart a new momentum for cooperation in areas of artificial intelligence, quantum, and critical minerals. "I am pleased that an agreement has been reached for the use of UPI in Israel," he said.
The prime minister, referring to the threat of terrorism, said India and Israel will continue to confront the menace unitedly.
"India and Israel are completely clear that there is no place for terrorism in the world. In any form, in any expression, terrorism cannot be accepted," he said.
"We have stood shoulder-to-shoulder in opposing terrorism and its supporters, and we will continue to do so," he added.
India and Israel also discussed the implementation of the India-Middle East Europe Economic Corridor (IMEC) and cooperation under the framework of I2U2 (India-Israel-UAE-USA).
