He's charged with killing his daughters, 2-month-old Natalie and 6-year-old Cassandra, and stabbing their mother, before turning the knife on himself.
Esqueda's wife, 33-year-old Irene Gonzalez, remains in the hospital after undergoing surgery.
It's still unclear what led to the violent outburst early Saturday morning.
According to the Press-Enterprise, two teenage children from Gonzalez's previous marriage were not home at the time of the rampage.
CNS contributed to this report.