"(Nufam) believes it is the right thing to do now as this even has brought tremendous impact on the aviation industry in this country...
"Since the Flight 370 tragedy (happened) under his watch, it is rightful for him to step aside and allow someone else to take over his position," Nufam said in a statement.
It said that Ahmad Jauhari must also step down following two other incidents involving MAS flights - the incident in Kathmandu, where a flight was hit by flying ducks and in Hong Kong, where a flight en route Seoul had to divert to due to generator failure.
It added that airline staff has also "lost confidence" in the way Ahmad Jauhari has handled the crisis which entered its 19th day today.
Following the Hong Kong incident, Nufam also released a statement urging MAS to ensure stringent safety checks on its aircraft, citing cabin crew concerns.