Lt. Gov. Kathleen Kennedy Townsend, who also supports the death penalty in limited cases, had asked Glendening last week to impose the moratorium. She recently announced she is running to succeed him.
Illinois Gov. George Ryan declared the nation's first moratorium in 2000, citing the release of 13 death-row inmates whose convictions were flawed. Last month, a commission appointed by Ryan recommended reforms to reduce the possibility of wrongful convictions, including cutting the number of crimes eligible for the death penalty and videotaping police interrogations.
About 3,700 people are on death row for crimes committed in the 38 states that allow the death penalty.
Baker was sentenced to die by lethal injection for the 1991 murder of Jane Tyson, 49, who was shot in the parking lot of a Baltimore County shopping center, where she had taken her 4-year-old granddaughter and 6-year-old grandson shopping for tennis shoes.
Baker does not deny taking part in an attempted robbery when Tyson was killed, but his attorneys say there is not enough evidence to show he fired the gun. Gregory Lawrence, a co-defendant, was sentenced to life in prison.