According to the Texas Department of Public Safety, Nelson was not aboard the bus when it crashed at about 3:30 a.m. CT Saturday on Interstate 30 near Sulphur Springs, 75 miles northeast of Dallas.
As a result of his band members' injuries, Nelson has postponed his four remaining November tour dates to December. The affected concerts were slated for Robinsonville and Jackson, Miss.; Fayetteville, Ark.; and Lafayette, La.
Trooper Sylvia Jennings says seven people were on the westbound bus, including the driver who was dealing with wet roads and high winds.
The Associated Press contributed to this report.