Paul Devoe is now serving his sentence on death row.
Devoe was transferred from the Travis County jail to Huntsville Friday.
Earlier this month, Devoe was convicted and sentenced to death for the 2007 murders of teenagers Danielle Hensley and Haylie Faulkner.
Devoe is also accused in the deaths of a Marble Falls man, as well as a woman and man inside the same Jonestown home where the teenagers were killed.
He is also accused with the death of a woman in Pennsylvania.