Several party men demonstrated outside the UP Bhawan here and shouted slogans against Ram Murti Verma, a state minister accused of orchestrating murder of a Shahjahanpur scribe.
The party accused Verma of also being involved in illegal sand mining and land deals, and demanded that he be sacked "immediately".
"We demand the state government immediately arrests culprits and takes strong action against guilty ministers and officers involved.
"We also denounce links between land and sand mafia, ruling politicians and criminals in UP and demand the government stops sheltering such elements," CPI(ML) Delhi committee said in a statement.
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"However, when people demand basic rights, their movements are crushed. Now in UP, journalists exposing these mafia elements are being brazenly attacked," the party claimed.
The CPI(ML) also submitted a memorandum of demands to UP Resident Commissioner at the Bhawan.
Journalist Jagendra Singh was allegedly set on fire during a police raid at his Shahjahanpur house on June 1. He succumbed to his injuries on June 8 during treatment at hospital.
A video footage of dying declaration which went viral on news channels showed Singh saying, "Why did they have to burn me? If the minister and his goons had a grudge, they could have beaten me instead of pouring kerosene and burning me."
In another incident last week, Haider, a journalist from Pilibhit alleged he was attacked, as stories reported by him had not gone well with the accused.