Kyle said the loan guarantee would help protect jobs in the West Midlands, Merseyside and elsewhere in the JLR supply chain.
"We are offering a £1.5bn credit facility to JLR with the explicit intention that that is to support the supply chain into JLR as well," he said.
"This is a big moment: this will offer an enormous resource for JLR and the supply chain to get through the immediate challenges that they face."
Chancellor Rachel Reeves said: "Today we are protecting thousands of those jobs with up to £1.5bn in additional private finance, helping them support their supply chain and protect a vital part of the British car industry."
Shadow business secretary Andrew Griffith welcomed the government's support but said it "took too long to get there" and called on Labour to form a cyber reinsurance scheme to protect British businesses from state-backed actors.
Liberal Democrat business spokesperson Sarah Olney also praised the move but said the government had been "too slow to act", adding it should also be prepared to provide a furlough scheme for affected workers if required.
Local MPs have supported the government move.
Sarah Coombes, Labour MP for West Bromwich said the crisis had "put thousands of jobs in the Black Country at risk".
"The government has listened to our manufacturing supply chain and taken strong action to protect jobs," she said on social media.
Conservative MP for Meriden and Solihull East Saqib Bhatti said the loan guarantee was necessary, but the government response had been slow.
"Do I think the government moved too slowly? 100%. They need to learn from this and be more nimble," he said on social media.
Union Unite, representing thousands at JLR and in the supply chain, described the government support as an "important first step".
"The money provided must now be used to ensure job guarantees and to also protect skills and pay in JLR and its supply chain," said general secretary Sharon Graham.
JLR was hit by a cyber-attack on 31 August. A group calling itself Scattered Lapsus$ Hunters has claimed responsibility for the hack.
It was also behind a number of high-profile attacks on retailers earlier this year, including Marks & Spencer and Co-op.
JLR workers have been told to stay home since 1 September, with no firm return date provided.
A JLR spokesperson said: "Our teams continue to work around the clock alongside cybersecurity specialists, the NCSC and law enforcement to ensure we restart in a safe and secure manner.
"The foundational work of our recovery programme is firmly under way, and we will continue to provide regular updates to our colleagues, retailers and suppliers."