Ward, from Montana, has been one of the featured drivers for the last five of the History Channel show's 10 seasons.
The show follows drivers as they battle the elements to deliver supplies to remote communities in northern Canada.
In the UK, the latest series of Ice Road Truckers had around 900,000 viewers per episode on Channel 5.
A statement on Ward's Facebook page said he had been travelling from a truck show in Dallas, Texas, to start filming the pilot for new a documentary about the recovery of plane wrecks in Montana.
The statement said his co-pilot, who was unnamed, also died in the crash,
"Trucking has always been a large part of Darrell's life; from running the harvest rigs with his grandparents and family, to driving trucks from Montana to Alaska and all roads in between," it read.
"In his free time, you could usually find Darrell giving back to the community any chance he got, he had promoted the most recent food drive to help victims in the Louisiana Floods and was scheduled to appear as the grand marshal for the Truck Convoy for Special Olympics in Nova Scotia."
The message added: "His motto, 'any road, any load' fits his personality perfectly."
A statement from History said: "We are saddened by the tragic loss of Darrell Ward, a beloved member of the History family.
"He will be greatly missed and our thoughts are with his family during this difficult time."
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City are now 10 points behind leaders Chelsea after defeat on Merseyside - the heaviest league loss in Guardiola's managerial career.
Asked if the gap was too great, he said: "Yes. Ten is a lot of points."
Guardiola, 45, has told his players to unite "in the bad moments" and "forget the table" until the end of the season.
He added: "At the end of the season, we are going to evaluate our level and how our performance was, how the coach was, how the players were. After that we are going to decide."
The former Barcelona and Bayern Munich boss insisted he was "so happy in Manchester" despite his side sitting fifth, two points behind fourth-placed Arsenal.
Guardiola watched City dominate possession on Merseyside but concede four from the six shots they faced.
Only five teams have a lower haul than their four clean sheets in the league - BBC Radio 5 live pundit Robbie Savage said City "cannot defend" and questioned if Guardiola would now change his style.
City are the only team in the Premier League to have over 50% of possession in every game this season but they have now conceded from the first shot they have faced in four of their last seven games.
Guardiola added: "I said to the players be positive because you made some fantastic things during the season and for many reasons we didn't get what I think we deserved.
"In the bad moments we have to be close. It's awful for my players. We created chances but don't score and when they have a chance, they punish us."
Everton scored with their first two shots through Romelu Lukaku and Kevin Mirallas, with Tom Davies and Ademola Lookman completing the rout.
Lookman's goal came after a John Stones clearance was charged down, throwing the young defender again under the spotlight.
It was Stones' first visit to Goodison Park since leaving Everton for City in a £47.5m deal last summer.
The 22-year-old has been criticised for making too many mistakes, and former Manchester United and Everton defender Phil Neville believes he is being unfairly singled out.
However, fellow pundit Alan Shearer told Match of the Day 2: "John Stones did have a nightmare. He is 22 now, he has played nearly 100 Premier League games and everyone keeps saying to me and to the rest of the football world, that he is going to be a top player.
"If I'm a centre forward, a young guy and I keep on missing chances, I don't expect to be in the team. Eventually you are going to get left out. I keep seeing Stones making mistakes too often, too many times."
City's next outing is a home encounter with second-placed Tottenham, who are on a run of six league wins.
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Darrell Ward, one of the long-haul drivers made famous on TV's Ice Road Truckers, has been killed in a plane crash at the age of 52.
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Manchester City are out of the Premier League title race after a 4-0 loss to Everton at Goodison Park, according to manager Pep Guardiola.