Titley, who praised the response of the cabin crew, said that the other passengers were checked for signs of illness but it had been suggested all four people who fell ill may have been staying in the same hotel.
West Yorkshire Police sergeant Chris Brumfitt wrote on Twitter: "Joint emergency service response to Leeds / Bradford airport tonight after reports of a number of people falling ill on an in-bound flight.
"Fortunately nothing more than a sickness bug. #Police #leeds #Bradford"
A spokesman for Jet 2 said: ""We can confirm that the crew on board flight LS298 from Reus to Leeds Bradford Airport arranged an ambulance for two passengers who were taken ill.
"The crew were alerted to a further two, non-associated cases of passengers feeling unwell on board.
"On arrival, as a precaution they were immediately checked over in the ambulance before heading home.
"All other passengers disembarked as normal and continued their journeys. The safety and care of our customers is always our first priority.''