The 62-year-old Woodward's execution was conducted Wednesday evening at the state penitentiary in Parchman. Department of Corrections spokeswoman Tara Booth says Woodward expired at 6:39 p.m. CDT Wednesday.
It is one of two executions set in as many days. Gerald James Holland is scheduled to be executed Thursday at 6 p.m.
Woodward was convicted of capital murder in 1987 in the death of Rhonda Crane, a Jackson County Youth Court volunteer.
Prosecutors have said Crane was driving in July 1986 to join her parents for a family camping trip when Woodward used his log truck to force her to stop south of New Augusta.
A jury found Woodward guilty of kidnapping and raping Crane, then shooting her to death.