Prasetyo said the man who attacked the security official during a visit in Banten province may have been exposed to the Islamic State group. Many policemen were stationed at the hospital.
A knife-wielding man had rushed Wiranto, who goes by one name, and the police chief in Pandeglang town, wounding both along with a third man.
Police did not say if either suspect belonged to one of dozens of radical groups that have pledged loyalty to the Islamic State group in Indonesia, which has long struggled with Islamist militancy.
Thursday's incident comes just over a week before President Joko Widodo kicks off a second term as leader of the Southeast Asian archipelago of some 260 million people, the world's biggest Muslim majority nation.
A police photograph showed Wiranto, a former general, being carried on a stretcher into a nearby hospital.
"When the minister was trying to meet the people, suddenly the two perpetrators conducted assaults", Dedi said.
"But a man got into the circle and stabbed Wiranto".
Indonesian police and military carry Security Minister Wiranto to a helicopter to be medivaced after he was stabbed in Pandeglang, Banten province, October 10, 2019.
"We are still seeking confirmation but from the photos that we have seen the local police chief was stabbed, stabbed in the back", National Police spokesperson Brig.
The government scrambled to tighten its anti-terrorism laws after a series of suicide bombings linked to the Islamic State-inspired Jemaah Ansharut Daulah (JAD) group killed more than 30 people in the city of Surabaya a year ago.
In the same month, police said Wiranto and three other officials were the targets of a failed assassination plot. Wiranto denied any wrongdoing in East Timor.
Two people - a married couple - have been arrested.