The new flights are to the islands of Kefalonia, Zakynthos, Corfu and Rhodes, as well as the destination of Larnaca in Cyprus.
In particular, from Bristol Airport, the airline is adding a new weekly service to Kefalonia, from 26 May to 22 September, every Thursday, and a new weekly service to Rhodes, from 28 May to 29 October, every Saturday.
A new service from Bristol to Larnaca, Cyprus, is also planned from 27 May to 28 October, every Friday, and a further exclusive service to Malta from 31 May to 25 October, every Tuesday.
From Newcastle airport, a new route to Kefalonia is planned every Tuesday from 26 July to 30 August, to Zakynthos every Wednesday from 27 July to 30 August and to Corfu every Monday from 25 July to 29 August.
Speaking about this, Jet2's chief executive Steve Heapy said: "With many customers not having taken a holiday in the last couple of years, we are seeing strong demand for summer 2022 as more people try to book in advance and give themselves the pleasure of something to look forward to."
"As always, we have responded quickly to demand by adding additional flights from Newcastle and Bristol airports, launching a new and exclusive route from Bristol Airport and giving customers and independent travel agents even more options to book and enjoy a holiday to sunny destinations next summer," added Mr Heapy.
He concluded: "We are delighted to provide a dynamic programme of flights and holidays to these popular, summer sunny destinations and we know that this huge choice of flights, combined with our award-winning customer service, will make these new and additional routes extremely competitive."