Union home minister Rajnath Singh had earlier rang up Chief Minister Pinarayi Vijayan to enquire about the situation in the state following the murder of Rajesh.
BJP leaders claim that there has been a spike in the "targeted killings" of right-wing cadre in recent times and 17 of them have died in such attacks in the past 17 months alone. There is no match between our strength. He said another BJP worker Chandrashekhar, who was killed recently, had 41 stabs.
Defence Minister Arun Jaitley will visit Thiruvananthapuram on Sunday.
Raising the issue during the Zero Hour, senior CPI (M) leader P Karunakaran took exception to some BJP members calling Vijayan and party's general secretary Sitaram Yechury "terrorists" in the House on Wednesday.
With the ruckus prevailing in the House, the Speaker adjourned the proceedings.
The Lok Sabha on Thursday witnessed disruption and a brief adjournment following angry exchanges between the Left and BJP members over political killings in Kerala.
Mr Karunakaran also said as per rules, the BJP MPs can not name or attack those who are not present in the House and are not in a position to defend themselves.
Protesting Left members then trooped into the well with CPI (M)'s Mohammad Salim being heard asking the Chair not to "succumb to pressure tactics" of the ruling party members.
He said the Kerala CM has been holding meetings with members of the RSS, the Left and other stake holders to end the violence in the state.
Jaitley would also visit the houses of BJP ward councillors, which were attacked allegedly by CPM activists in various parts of Thiruvanathapuram last week, it said.
Speaker Sumitra Mahajan initially denied permission to Karunakaran to speak again, saying it would lead to similar scenes of protest.