"Silencing a voice with a gun is the worst way to win a debate. Condolence to all those who are grieving Gauri's demise," Kamal, who last week hinted at forming a political party but made it clear he won't ally with the "saffron" -- the Hindu Right, tweeted.
Lankesh was gunned down at her Bengaluru home on Tuesday night by unidentified assailants.
Her killing led to wide spread protests and condemnation. Even Bollywood celebrities like Shabana Azmi, Javed Akhtar and Shekhar Kapur vehemently criticised the attack.
However, some on Twitter, apparently right-wing supporters, said the Kannada journalist "deserved" what she got.
Lankesh was on Wednesday given a state funeral by the Karnataka government.
The top court sought a response from the Karnataka government on a plea made by sister of slain journalist challenging the dropping of organised crime charges against accused Mohan Nayak in the case.
A three-judge bench headed by Justice A M Khanwilkar issued notice to the Karnataka government and others while seeking their response on the appeal filed by Lankesh's sister Kavitha Lankesh against the high court order.
"Issue notice on the applications seeking permission to file special leave petition, prayer for interim relief and special leave petition.
"After hearing counsel for the respondent No.6, for the time being, we observe that the bail application filed by respondent No.6 before the high court be decided without being influenced by the impugned order. For, it is a subject matter of challenge in this special leave petition," the bench also comprising Justices Dinesh Maheshwari and Annirudhha Bose said.
The apex court has posted the matter for next hearing on July 15.
According to the appeal filed by Kavitha, Nayak is relying on the impugned judgement of the Karnataka High Court, which quashed charges against him on April 22, to seek bail.
The high court had quashed the charges saying, "All the subsequent acts namely sanction order, charge sheet and the order taking cognisance flow from the approval order."
"If the approval order itself is bad in law, the sanction order, the charge sheet and the approval order so far as the offences under the Karnataka Control of Organised Crime Act against the petitioner (Nayak) have no legs to stand," the high court had said.
Kavita's lawyer told the top court that a Special Investigation Team (SIT) had revealed that Nayak was part of a syndicate. which was behind several instances of organised crime.
Lankesh was shot dead on the night of September 5, 2017, from a close range in front of her Rajarajeshwari Nagar house around 8 pm.
The 34-year-old journalist, Tarun Acharya, who was working with a private Odia TV channel, was murdered in Khallikote of Ganjam district on May 28, 2014 night while he was returning home from work.
All the five accused- Santosh Moharana, Suresh Sahu, Ramesh Reddy, Shyam Prusty and Shivaram Nayak have been awarded life imprisonment.
As the incident had happened close to Khallikote Police Station, it had led to public outcry in the State. At the time of the incident, Acharya was survived by his wife and eight-month-old daughter.
As per reports, Shyam Prusty, the owner of a cashew processing unit along with one of his associate Ramesh Reddy had hired contract killers to eliminate Acharya after he had published a report regarding child labourers being engaged at the former’s plant. One of the accused, Nrusingha Panda is still absconding.
“Truth has triumphed and it is a victory for the working journalists. Without any reason, cashew factory owner Shyam Prusty hired supari killers and killed my brother. One accused Nrusingha Panda is still absconding,” said deceased Acharya’s brother.