In a series of tweets Thursday night, Coulter criticized the university, saying Berkeley officials were adding "burdensome" conditions to her speech.
Officials had previously warned that due to a lack of an available, protectable venue, staging such an event on April 27, the date students had picked for the controversial speaker's appearance - and which campus administrators only discovered when it was reported in newspapers - made it impossible for police to ensure the protection of students, attendees, the inevitable throngs of protesters or Coulter herself.
"For the University of California at Berkeley to declare a week ahead of time that maintaining safety and security in relation to Ann Coulter's planned appearance on campus is impossible amounts to an unacceptable abdication of the crucial role of the university as an open forum for intellectual and ideological exploration", the group's executive director, Suzanne Nossel, said in a statement.
It also echoed a similar cancellation in February of a planned speech at the university by a right-wing provocateur and former Brietbart editor, Milo Yiannopoulos, following violent protests.
The University of California-Berkeley cancelled an appearance next week by conservative flame thrower Ann Coulter, after the left-leaning campus couldn't guarantee her safety.
The university says it has specific intelligence of threats that could pose a danger to Coulter and expected protesters, but could offer her a safe alternative venue next month.
Among the organizers of Ann Coulter's speech are the Young American's Foundation (YAF) and BridgeUSA.
In recent months, several conservative speakers have been met with disruptive, sometimes violent protests when invited to speak at US universities with liberal-leaning student bodies.
University administrators write that they "remain firmly committed" to finding another time for Coulter to speak on campus.
The Berkeley College Republicans did not immediately return HuffPost's request for comment.
Conservatives have pointed to a growing restriction of free speech on liberal-leaning college campuses.
Coulter and the group arranging her event said they are rejecting the new invitation.
Coulter has used her Twitter feed in recent days to attack "fake news" about the controversy over her on-again, off-again lecture at the left-wing university. And she vowed that she is going to speak in Berkeley on the originally planned April 27 date, whether the university approved or not.
"In other words, we can't hold an event when our police department says, 'No, sorry". Among those demands were that she appear in the afternoon, that only students be allowed to attend, and that the location would not be announced until close to the event's starting time.
Her threat to come "regardless" of Berkeley's wishes forced the school to act fast and reschedule the appearance for May 2, said Dan Mogulof, assistant vice chancellor for public affairs.
Further, the attorney's letter argues "The illegitimate time, place and manner restrictions imposed by the University will prejudicially limit, if not eviscerate, student access to the event, defeating its very goal, and depriving Berkeley students of a much-needed counterweight to the favored voices such as [Mexican President Vincente Fox], or [former Clinton administration member Maria Echaveste], that UC Berkeley warmly welcomes".
The announcement came less than a week after fighting broke out between supporters and opponents of President Donald Trump during a "Patriots Day" free speech rally at a park in the city of Berkeley.