Ronaldsway Airport has been closed due to a plane not being able to taxi off the runway following its unsuccessful attempt to fly to Belfast.
The Isle of Man Steam Packet Company cancelled the 08:45 GMT Douglas to Heysham ferry and the 14:15 return.
The Manx Met Office said strong winds were expected to hit the island throughout the day.
Director of Ports Ann Reynolds said the plane had been unable to land in Belfast and had returned to the island, and that all passengers on board had been "returned to the airport by bus".
She added that the pilot landed safely but decided the winds were too strong to taxi back to the airport.
Citywing tweeted that all flights to and from the island were "cancelled for today" and the airport said it would remain closed until 13:00.
A spokesman for the ferry company said the 19:45 service was expected to depart as scheduled.
The strong winds have also brought trees and power cables down across the Isle of Man affecting motorists.
Isle of Man Constabulary have shared pictures on social media of fallen trees and damage to the roof of the power station in Douglas.
A police spokesman said the south of the island was "worst affected".
"Trees are coming down all over the island, so please do not travel - if you have to travel, keep journeys to a minimum," he said.
The Isle of Man Met Office has issued an amber weather warning and also warned of heavy rainfall at times throughout the day.

Sir Peter Blake received Liverpool's Citizen of Honour at a ceremony at the city's Liver building.
The 84-year-old also gave Mersey ferry Snowdrop a dazzle ship makeover entitled Everybody Razzle Dazzle.
Sir Peter, who was born in Kent, said he hopes Liverpool people will accept him as an "honorary Scouser".
Lord Mayor of Liverpool Roz Gladden said: "Sir Peter has helped shape Liverpool's cultural significance on the global stage for more than five decades - from Sgt Pepper to Everybody Razzle Dazzle.
"His work with The Beatles was one of the seminal moments in popular art in the 20th Century and 50 years on still resonates around the world as we will see with our 50 Summers of Love programme."
She said he had continued to make outstanding contributions to the cultural life of the city "underlining the depth of feeling he has for Liverpool and the city has for him".
Sir Peter said: "As well as my music links with the city, I'm proud of my association with Liverpool Biennial and Tate Liverpool and hope to continue my relationship with the city."
He said he treasures "the warmth and good humour of the people of Liverpool".
Citizen of Honour awards were introduced in 2008 to recognise individuals who have enriched the image of Liverpool and its citizens.
Recent recipients include James Barton, founder of the nightclub brand Cream, and Harry Potter and Fantastic Beasts film director David Yates.
The Snowdrop ferry was due to be returned to its original paintwork at the end of 2016 but it has been extended until 2019.

The man dialled two taxi firms from the landline in the house at Wodecroft Road, Luton, but hung up after he was asked for his phone number.
Bedfordshire Police asked anyone who recognised the man's voice to contact them.
A flat-screen television and other electrical items were stolen from the house.
The calls were made in the early hours of Saturday 25 October using a cordless telephone, which was then left on a table in the garden, police said.
The man called two Luton taxi firms which were both dealt with by the same control office.
In the first call, the suspect was asked to leave his landline number, but said he did not know it.
He was then asked to leave his mobile number and he started to, but then stopped, claiming he did not know it.
Police said he then made a second call and got through to the same controller, who explained the office handled calls for more than one taxi firm.
The force hopes the suspect, who almost revealed his mobile phone number, can be identified from the recordings, which were made automatically.
Det Con Scott Hannam said: "We are keen to identify the man as we believe he may have important information which could assist our investigation.
"I would urge anyone who recognises his voice, or for the man himself, to contact police.
"I am also keen to hear from anyone who has any information or saw a large television being carried around this area on the night in question."
Gale force winds have led to the cancellation of ferries and flights between the Isle of Man and the UK.
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The artist who created the album cover for The Beatles' Sgt Pepper album has been given a top honour in the band's home city.
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Police have released recordings of a suspected burglar phoning for a taxi from the house he had just broken into.