The Lincolnshire-based team flew over the Humber Bridge at about 09:30 BST and was also spotted over Doncaster, Sheffield and York.
A 10-jet training route took place ahead of the team's annual trip to Greece and Cyprus for exercises.
The team landed back at RAF Scampton at 10:00 BST after the hour-long flight.
More on this story and others in East Yorkshire & Lincolnshire
In 2016, the display team took part in a 60-day world tour, which included its first display in China, aiming to promote "the best of British".
The tour, which took in 12 countries, also featured a flypast in Jordan, displays in India and a flight over the Abu Dhabi Formula One Grand Prix.
The Red Arrows aerobatic display team has surprised onlookers by carrying out a training flight over Yorkshire and the Humber.