The airport says from six to 10 of the Max 8 planes fly from Tampa each day.
The decision to ground the entire fleet comes just after the United States announced it is to issue an "emergency order" grounding all Boeing 737 Max 8 and Max 9 aircraft following the crash in Ethiopia, president Donald Trump has said.
The "safety notice" means none of the aircraft can fly into, out of, or over Canada, he added: "I will not hesitate to take swift action should we discover any additional safety issues".
"We are supporting this proactive step out of an abundance of caution", Boeing said following Trump's announcement.
"Pilots repeatedly voiced safety concerns about the Boeing 737 Max 8 to federal authorities, with one captain calling the flight manual inadequate and nearly criminally insufficient", the newspaper noted. "They didn't. Unfortunately, they didn't", Fadia Shashan said.More news: United States senator vows to seek recognition of Israeli rule in Golan
Countries around the world have grounded the 737 Max jets or banned them from flying over their airspace since the Ethiopian Airlines flight crashed soon after taking off from Addis Ababa on Sunday.
Other countries - including New Zealand - have also suspended flights of the 737 MAX 8, so people no doubt want to know if it's safe to fly on the aircraft. According to a preliminary investigation by Indonesia's airport authority, the plane's sensors were showing incorrect speed and altitude readings during another flight hours before the disaster.
The European Union, China, and Australia, among other countries, have grounded the Boeing 737 Max 8.
Southwest and American Airlines are still flying the Boeing 737 Max 8.
Following last October's Lion Air crash in Indonesia, investigators said the pilots had appeared to struggle with an automated system created to keep the plane from stalling, a new feature of the jet.
Shortly afterwards Mr Trump took the decision to halt flights on the Boeing model.More news: Facebook, Whatsapp and Instagram are down for many
He said satellite data suggested similarities between the flight profiles of the Ethiopian jet and that of a Lion Air plane of the same type that crashed in Indonesia a year ago.
Possibly presaging a raft of claims, Norwegian Air said it would seek recompense for lost revenue and extra costs after grounding its 737 MAX aircraft.
The passengers came from more than 30 nations.
Since the Indonesia crash, there has been a focus on an automated anti-stall system in the 737 Max that dips the aircraft's nose down. "We'll continue to engage with them to ensure they have the information needed to have confidence in operating their fleets", the statement said.
Boeing has issued a statement saying it is "deeply saddened" by the latest crash and will do what it can to help in the investigation.
The Federal Aviation Administration also backed the jet's airworthiness and said it was reviewing all available data. They are voluntary safety reports and do not publicly reveal the names of pilots, the airlines or the location of the incidents.More news: Murray throws at his pro day, meets with Giants
The pilots said they were able to recover quickly following the aggressive dive - descending as fast as 1,500 feet per minute - by disconnecting the autopilot.
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