"We know they have the person of interest in custody. That's all I can confirm right now," said Karina Vetrano's father, Phil Vetrano.
No other information has been released at this time.
Vetrano's parents spoke out Thursday, trying to renew momentum in the case on the six-month anniversary of the murder.
Karina Vetrano left her home for a jog around 5 p.m. on Aug. 2, 2016. When she failed to return, family members reported her missing and started searching for her.
Vetrano's body was found around 9 p.m. by her father about 14 blocks from her home, in the marshes of Spring Creek Park, off 161st Avenue and 78th Street. She was about 15 feet off the trail.
The medical examiner's office performed an autopsy and ruled Vetrano's death a homicide, saying she was strangled.