The deadly crash happened on the I-45 inbound HOV lane near Edgebrook before 6 a.m.
METRO police said a pedestrian was trying to cross the inbound HOV lane when they were struck.
The bus and driver were with First Class Tours, contracted by METRO.
No other injuries were reported.
The inbound HOV lane is closed in the area as police continue to investigate.
Police did not release the identity of the pedestrian who was killed.
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