It wasn't immediately clear if Schara had an attorney.
The DNA sample had been run against databases in the past, and investigators chose to take another look at prior persons of interest who did not appear in existing DNA databases.
The case reportedly became a joint investigation with the Agawam police department, the Massachusetts State Police, the state crime lab, and the FBI.
Her body was found days later, on Easter Sunday, in a wooded area off Route 75 in Agawam near the CT border.
Lisa Ziegert was working her night job at a card and gift shop when she vanished on April 15, 1992. Forensics showed that she'd been raped before being stabbed to death.
A year ago, prosecutors were able to create a composite sketch of the suspect using a new technology called DNA phototyping. Legal proceedings there will determine when Schara will be returned to MA.
A sketch of the suspect at age 25 in 1992 released in 2016
Gulluni said the DNA collected in the case had "been recurrently run against state, national and global databases, without a match".
Investigators said a person close to Schara gave them handwritten confession notes he had allegedly written, Fox 25 Boston reported.
"Through the determined and skilled work of many investigators, we have arrested the person responsible for the heinous acts committed against Lisa and the 25-year-long search for answer is over", Gulluni said.
Schara was located in CT the next day after a suicide attempt, and arrested when his DNA was found to be a match.
Investigators on the case, many of whom have since retired, vowed never to stop searching for the killer. Diane Ziegert remembered her daughter as amusing, bright, bubbly, and "a little bit stubborn".
Schara was arrested for the rape, kidnapping and murder of Lisa Ziegert, who first went missing in 1992. He was released from the hospital yesterday and was in the custody of Connecticut State Police on a fugitive from justice charge, the DA said. MA officials are awaiting court proceedings to determine when Schara will be returned to the state.