Argentina's flagship carrier said late Monday night it had ordered the suspension as it awaited the result of investigations into the crash of the Ethiopian Airlines plane that crashed Sunday south of Addis Ababa shortly after take-off, killing all 157 people onboard.
Earlier Aerolíneas' pilots had refused to fly the jet.
"For Aerolíneas Argentinas, safety is the most important value," the company said in a statement on the grounding of its five 737 Max 8 planes, out of a total fleet of 82. It said it had opted for a "temporary suspension."
The decision "was taken after the joint analysis carried out with ANAC, the regulatory authority of the air sector in the country," read the statement.
The Nairobi-bound plane was the same type as an Indonesian Lion Air jet that crashed in October, killing 189 passengers and crew – and some officials have detected similarities between the two accidents.
There are some 350 of the 737 MAX 8 planes currently in service around the world.
Investigators have recovered the black box flight recorders from the Ethiopian Airlines plane, which crashed near Addis Ababa carrying passengers and crew from 35 countries – including some two dozen UN staff.
US regulators have ordered Boeing to make urgent improvements to the model and insisted they would take action if safety issues are detected. But it was not enough to reassure aviation authorities in Britain and four other countries – Singapore, Australia, Malaysia and Oman – who temporarily banned all 737 MAX planes from their airspace.
China, a hugely important market for Boeing, had already ordered domestic airlines to suspend operations of the plane Monday, as did Indonesia.
The UK Civil Aviation Authority said in a statement headlined "Boeing 737 MAX Aircraft" that "as a precautionary measure" it had decided "to stop any commercial passenger flights from any operator arriving, departing or overflying UK airspace".
Aviation regulators in Singapore, a global air travel hub and popular transit point for long-haul travellers, said they would work with the country's main airport and "the affected airlines to minimise any impact to travelling passengers".
One Singapore airline, SilkAir, uses 737 MAX aircraft while a handful of foreign airlines operate the planes in the city-state.
In its statement announcing the 737 MAX ban, Malaysia's aviation regulator noted the two recent fatal accidents involving the model.
South Korea, meanwhile, ordered the only airline in the country that operates the jets to suspend operations of its two MAX 8s. Argentina's flag carrier also grounded five MAX 8 aircraft on Tuesday, as did airlines in countries including South Africa, Brazil and Mexico.
But several airlines said they are not cancelling MAX 8 flights, while US carriers appeared to maintain confidence in the manufacturer.
"The Boeing 737 MAX is a highly sophisticated aircraft," said India's SpiceJet, which has 13 of the MAX 8 variants in its 75-strong fleet.
But not since the 1970s – when the McDonnell Douglas DC-10 suffered successive fatal incidents – has a new model been involved in two deadly accidents in such a short period.
The weekend crash sent Boeing shares nosediving as much as 12 percent on Monday.
"I think the impact for the industry is significant," said Gerry Soejatman, a Jakarta-based aviation analyst.
"We have a new type of aircraft – that type of aircraft has only been in service for two years – and... we have two accidents with seemingly similar circumstances."
The plane involved in Sunday's crash was less than four months old, with Ethiopian Airlines saying it was delivered on November 15.
It went down near the village of Tulu Fara, some 40 miles (60 kilometres) east of Addis Ababa.
Inhabitants of the remote area looked on from behind a security cordon as inspectors searched the crash site and excavated it with a mechanical digger.
The single-aisle jet had left a deep, black crater.
Ethiopian Airlines said the pilot was given clearance to turn around after indicating problems shortly before the plane disappeared from radar.
The airline's chief executive Tewolde GebreMariam said the plane had flown in from Johannesburg early Sunday, spent three hours in Addis and was "dispatched with no remark", meaning no problems were flagged.
The crash cast a pall over a gathering of the UN Environment Programme as it opened in Nairobi -- at least 22 staff from several UN agencies were on board the doomed flight.
Delegates hugged and comforted one another as they arrived at the meeting with the UN flag flying at half-mast.
Other passengers included tourists and business travellers.
Kenya had the highest death toll among the nationalities on the flight with 32, according to Ethiopian Airlines. Canada was next with 18 victims.
There were also passengers from other countries including Ethiopia, Italy, the United States, Britain and France.