Hindustan Motors Ltd said in a statement that it had suspended work at its Uttarpara plant, outside Kolkata, until further notice.
Modelled after the British Morris Oxford, the Ambassador was the first car to be made in India and was once a status symbol, but began losing its dominance in the mid-1980s when Maruti Suzuki introduced its low-priced 800 hatchback.
It lost further cachet and market share when global automakers began setting up shop in India in the mid-1990s, offering models with contemporary designs and technology.
The Ambassador has remained the choice of a dwindling share of bureaucrats and politicians, usually in white with a red beacon on top and a chauffeur at the wheel. It is also still in use as a taxi in some Indian cities.
In a statement on Saturday, Hindustan Motors cited "worsening conditions at its Uttarpara plant which include very low productivity, growing indiscipline, critical shortage of funds, lack of demand for its core product the Ambassador and large accumulation of liabilities."
The company sold about 2,200 Ambassadors in the fiscal year ended in March 2014, a tiny share of the 1.8 million passenger cars sold during the year in India, according to industry data.
A new Ambassador in Kolkata starts at 515,000 rupees ($8,800), according to a dealer in the city.
"The suspension of work will enable the company in restricting mounting liabilities and restructure its organisation and finances and bring in a situation conducive to reopening of the plant," the company said in its statement.
Some industry watchers said it would be difficult for the "grand old lady" of the Indian car market to make a comeback.
"It doesn't make any business sense," he said.
Abdul Majeed, a partner at PriceWaterhouseCoopers India, said that to revive demand, Hindustan Motors would need to invest in shrinking the Ambassador and making it more fuel efficient, with success hardly assured.
Despite its dwindling sales, the distinctive car with its bulbous design and roomy interior has many admirers and was last year named the world's best taxi by the BBC's popular Top Gear television show.
In Kolkata, there were some 33,000 Ambassador taxis at the end of 2013.
"There are newer cabs in Kolkata of different companies now, but we still drive an Ambassador and cannot think of the city without it," said Ashok Kumar Singh, 32, who has driven a yellow Ambassador taxi in Kolkata for a decade.
"She is my livelihood," he said.
Struggling with falling sales, Hindustan Motors accumulated losses exceeding its net worth at the end of its financial year ended Sept. 30, 2013, and the company has been looking for investors.
Get Breaking news, live coverage, and Latest News from India and around the world on NDTV.com. Catch all the Live TV action on NDTV 24x7 and NDTV India. Like us on Facebook or follow us on Twitter and Instagram for latest news and live news updates.