Robert Hodges, 32, faces three charges of premeditated first-degree murder and one charge of felony attempted murder against his wife. He pleaded not guilty Monday.
In a press conference Monday, Yolo County District Attorney Jeff Reisig said that Hodges allegedly used a belt to kill two of his children -- 9-year-old Julie Hodges and 11-year-old Kelvin Hodges. Reisig would not say how the belt was used in the deaths. Robert Hodges is also accused of killing his 7-month-old son Lucas Hodges.
Hodges was also charged with three special circumstances, two for allegedly lying in wait and another for multiple murders.
The Yolo County District Attorney's office said Hodges could face the death penalty if convicted.
Police were called to the family's apartment on Touchstone Place on Wednesday night for a domestic violence call. The three children were all pronounced dead at the scene.
Around midnight, CHP noticed the suspect's vehicle on westbound I-80 near El Camino. Hodges was arrested for murder and taken into custody without incident.
Neighbors say the children seemed "happy-go-lucky" and the family seemed normal.
Hodges' next court appearance is on Oct. 2.