The popular Malayalam actor was arrested last evening and was remanded in two weeks judicial custody early this morning.
"Those who have committed an offence, whoever they may be, the police will take action (against them). They cannot escape from the arms of the law and will be punished," Chief Minister Vijayan told reporters here.
He said the police investigation was underway and anyone else involved in the sensational case will be held soon.
Vijayan said the state government had asked the former, the interim and the present Directors General of Police (DGPs) to ensure proper probe.
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Dileep was brought to the residence of the magistrate this morning amid tight police security. After completing all formalities, the magistrate remanded him in judicial custody.
He has been lodged a sub jail in Aluva near Kochi.
There were protests by the Democratic Youth Federation of India, the Youth Congress and the Yuva morcha and BJP workers against the actor when he was brought to the Aluva police club.
Kerala Police chief Loknath Behra had yesterday said that the arrest was made based on evidence.
The 48-year-old actor is accused of conspiracy behind the abduction and assault of the actress, an incident that has sent shock waves in the state.
The police had questioned prime accused 'Pulsar' Suni for allegedly making phone calls from jail to threaten and blackmail film industry people, including Dileep.
They had secured his custody on July 5 for five days from a magisterial court at Kakanad near Kochi.
Suni's second arrest came after police recorded the statement of Dileep on his complaint alleging blackmail by a man, who claimed to be a friend of Suni.