The station serves the region of CT that includes Newtown, the town where the mass shooting at Sandy Hook Elementary took place in 2012.
Bridgeport lawyer Josh Koskoff, who represents the families of several victims, said in a letter to the network, " Ms. Kelly's interview implicitly endorses the notion that Mr. Jones" lies are actually "claims' that are worthy of serious debate; and in doing so it exponentially enhances the suffering and distress of our clients".
Jones-who recently engaged in a typically red-faced game of chicken with Kelly and NBC over the interview's contents-has stated in the past that he believes that the Sandy Hook shooting was faked, using actors.
FILE - In this December 7, 2016 file photo Megyn Kelly poses at The Hollywood Reporter's 25th Annual Women in Entertainment Breakfast in Los Angeles.
The NBC network television station in CT will not air the upcoming interview between Megyn Kelly and Infowars' Alex Jones on Sunday, citing the concerns of its staff, viewers, and the families of Sandy Hook Elementary School victims. Jones has blasted Kelly, accusing her of lying to him and threatening to release audio of their interview on his own website, InfoWars, before NBC airs it Sunday. "We have considered the deep emotions from the wounds of that day that have yet to heal", the memo read.
London fire: 58 missing people presumed dead after Grenfell Tower disaster
Mrs May had received criticism after visiting the scene of the blaze on Thursday, but failing to meet any of the survivors. Protesters stormed the local town hall in Kensington demanding action in the wake of the devastating Grenfell Tower fire .
Because those wounds are understandably still so raw, we have decided not to air this week's episode of Sunday Night With Megyn Kelly.
NBC News vows to go ahead with Sunday's program.
Kelly says she believes there's value in exposing what Jones says to the American people. In a statement released Tuesday on Twitter, Kelly cited President Donald Trump's past praise for Jones when justifying her decision to conduct the interview.
NBC did not immediately respond to a request for comment.
A backlash greeted NBC's decision to book Jones, who has questioned whether the killing of 26 people in 2012 at an elementary school in Newton, Connecticut, was a hoax.