The chain of events in Jordan began Friday when assailants detonated a home-made bomb under a police vehicle guarding a music festival in the predominantly Christian town of Fuheis, west of the capital of Amman.
The clash late on Saturday was among the deadliest between suspected terrorists and Jordanian security forces in recent years.
Security forces are seen near a damaged building one day after the security incident, at the city of Al Salt, Jordan.
In a huge security operation, Jordanian forces laid siege to the building in a residential part of Salt on Saturday night in a search for those responsible for a bomb attack on Friday on a police van.
"It killed Sergeant Ali Adnan Qawqaza and wounded six other members of the patrol", the ministry said, adding that an investigation was underway into the cause of the blast.
Four security personnel were killed during the operation after the suspected militants sought sanctuary in the multi-story building in Salt, a hillside city, the government said.
Security forces had been deployed to protect the town's annual festival, which hosts prominent Arab music acts.
Jordan said on Saturday four people were killed during a police raid on a house sheltering militants suspected of being behind a bomb attack on a police van.
The suspects reportedly refused to surrender and instead started shooting at the forces that surrounded their building, according to Ghunaimat.
Meanwhile, officials at Al Salt Government Hospital said dozens of people were rushed to the hospital by ambulances suffering from various injuries. The bomb exploded in an area where police usually stop during the event.
The Hala Akhbar news website linked to Jordan's military said the suspects are Jordanians and that the cell had planned to attack security installations and other sensitive targets.
Salt lies a few kilometres north of Al-Fuhais, a mostly Christian town.
No group immediately took responsibility.
Prime Minister Omar Razzaz called the bombing a "terrorist attack".
Ghneimat said that the security forces raided the house in Salt after receiving a tip.
An official source at the Ministry of Foreign Affairs reiterated the Kingdom's solidarity with Jordan against that country's fight against terrorism and extremism.
Jordan is a close Western ally in a turbulent region, and has largely been spared from the conflicts in neighboring Syria and Iraq.