Lundgren joined easyJet as Chief Executive in 2017 after more than a decade with Tui, first in Sweden and then in the UK.
He will take over from Dieter Zetsche as Chair of Tui's supervisory board in February.
Lundgren, who joined Tui's supervisory board last year, was voted in unanimously as Zetsche's successor.
Zetsche has served as Chair since May 2019 and has opted not to stand for re-election to the board at the end of his current term.
Tui described Lundgren as a "highly experienced tourism and aviation executive". "Most recently, he served as Chief Executive of easyJet plc from 2017 until the end of 2024.
