Air France is managing to run 75% of its flights, despite its workers sixth strike day since February in support of salary increases.
The Lisbon-Paris Charles de Gaulle route has been affected by cancellations but alternatives have been offered to passengers.
On Saturday, the fifth strike day, 30% of flights were cancelled but the company plans to run 65% of long-haul flights, 73% of medium-haul flights and 80% of shorter flights.
Tuesday’s strike at four German airports has already seen the cancellation of eight Lufthansa flights to or from Portugal. The company plans to operate nine of the 12 scheduled flights between Portugal and Germany and seven of the 11 flights between Germany and Portugal.
The carrier asks passengers to check on www.lufthansa.com to see if their flight has been affected.
The Lufthansa group that it had to cancel more than 800 flights on Tuesday, half of those scheduled, due to the strike.
Passengers whose flights have not been canceled should arrive at airports earlier as delays are expected while Lufthansa's personnel director, Bettina Volkens, called the protest action "unacceptable."
German services union Verdi called the strike for Tuesday at Frankfurt, Bremen, Cologne and Munich airports to pressure negotiations on a new collective bargaining agreement for 2.3 million public sector workers to receive a 6% rise in salary.
Passengers were stranded in Madeira yesterday due to the fierce weather. TAP said it was sending two A330s to collect them on Tuesday.
The strong wind at Madeira Airport caused the cancellation of 11 flights and forced another 11 to divert to various other locations.
About 300 passengers of flights diverted to the island of Porto Santo travelled to Madeira on the Lobo Marinho, the ferry that makes inter-island connections.
By late afternoon on Monday the weather conditions began to allow landings and take-offs from the Cristiano Ronaldo International Airport.