Deputies from the Burnet County Sheriff's Office responded to a call about two unresponsive individuals at around 1 p.m. on Monday.
As deputies arrived on the scene, a 39-year-old female and a 42-year-old male were found dead inside a home at The Overlook subdivision in Horseshoe Bay. The Burnet County Sheriff's Office said the incident was being investigated as a suspected homicide.
The victim's names have not yet been released. Both were transported to the Travis County Medical Examiner's Office for an autopsy.
On Thursday, the investigation of the double homicide resulted in the arrest of 33-year-old James Joseph Luckenbach of Lampasas.
Luckenbach has been taken into custody for the capital murder of multiple persons and is booked into the Burnet County Jail without bond.
Charges against Luckenbach will be sent to the 33rd/424th District Attorney's Office for prosecution.