A bus driver has been arrested at Melbourne Airport over the death of a pedestrian hit by his bus in Mordialloc last month.

Police said the 41-year-old Oakleigh driver was attempting to travel overseas on Sunday when he was arrested.

The 67-year-old pedestrian was crossing Beach Road at the intersection of Centreway about 4.30pm when he was struck by the bus on Thursday, September 7.

There were no passengers on the bus at the time of the crash.

After being hit by the bus, which was turning, the pedestrian was taken to The Alfred hospital, where he died later that night.

The bus driver has been charged with dangerous driving causing death and careless driving over the death of the man.

He will appear at Melbourne Magistrates Court on Wednesday.