Investigators believe William Wright, 32, has been back to South Lumberton where he has family.
New York City investigators were in Lumberton last week looking for Wright, who is charged with stabbing 30-year-old Demetrrius Lee to death.
New York City police Detective Joseph Patton said Wright stabbed Lee in the back, head and chest.
Patton said the killing occurred on May 30 after Wright argued with his girlfriend at her 12th floor apartment at the Spring Creek Towers complex in Brooklyn. Wright also has been charged with stabbing another brother who intervened on his sister's behalf. That man was stabbed in the buttocks with a kitchen knife.
Patton declined to release the name of Wright's girlfriend.
Wright had been living with his sister in Brooklyn until he moved in with his girlfriend about a month before killing.
"We know for a fact that he was in the southside of Lumberton last week," Patton said. "He has family in Lumberton. He has at least seven children in the Lumberton area from six different women."
The New York City Police Department has filed arrest warrants charging him with first-degree murder, felony first-degree assault, and felony possession of a weapon and misdemeanor menacing.
Patton said Wright has an extensive criminal history in New York and North Carolina.
"It seems like there is a pattern of domestic violence with various other girlfriends," Patton said. "He seems to have an anger management issue."
Anyone with information is asked to call the Lumberton Police Department at 671-3845, or Patton at the New York City Police Department at (718) 827-3549 or (718) 827-3547.
A cash reward is available to anyone with information leading to an arrest and prosecution. The number to call is (800) 577-TIPS hotline. Callers can remain anonymous.