Weiss, who has headed up the airline for the past seven years, will be succeeded by chief customer and operating officer Corneel Koster.
Koster rejoined Virgin Atlantic in 2019, and is credited with leading on the introduction of the carrier's new A330neo aircraft and delivery of its digital operational transformation.
During a career spanning three decades, Koster has head senior operational and commercial roles at Virgin Atlantic partners Delta Air Lines, Aeromexico and KLM.
Between 2010 and 2013, Koster was Virgin Atlantic's director of operations, safety and security.
