The European Union and India have banned the Boeing 737 Max from flying over their airspace to ensure passenger safety.
They join a long list of countries in suspending the plane, including the UK.
It comes after an Ethiopian Airlines plane crashed on Sunday, killing 157 people on board. It was the second fatal accident involving the 737 Max 8 model in less than five months.
US officials say the aircraft are still safe to fly.
However, the US Association of Flight Attendants-CWA union is now calling for the Federal Aviation Administration “to temporarily ground the 737 Max fleet in the US out of an abundance of caution”.
Investigators have recovered the flight recorders from the Ethiopian Airlines plane and are currently examining the data to determine what caused the crash.