Liverpool and Manchester United managers Jurgen Klopp and Erik 10 Hag person called for an extremity to "tragedy chanting" successful a associated statement.
The 2 sides conscionable astatine Anfield connected Sunday and Ten Hag called their rivalry "one of the top successful satellite football".
It has occasionally been marred by rival supporters chanting astir the Munich aerial catastrophe and the Heysel and Hillsborough tragedies.
But Liverpool brag Klopp told fans to "keep the passionateness and suffer the poison".
Ten Hag added: "It is unacceptable to usage the nonaccomplishment of beingness - successful narration to immoderate calamity - to people points, and it is clip for it to stop."
Manchester United and Leeds United "strongly condemned" chants astir historical tragedies erstwhile they met astatine Elland Road past month.
At the time, the Premier League said it is "treating the contented of calamity chanting arsenic a precedence and arsenic a substance of urgency".
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Before this weekend's crippled astatine Liverpool, Ten Hag added: "We each emotion the passionateness of the fans erstwhile our teams meet, but determination are lines that should not beryllium crossed.
"Those liable tarnish not lone the estimation of our clubs but also, importantly, the estimation of themselves, the fans, and our large cities."
The Munich aerial disaster took spot successful February 1958, erstwhile a charter level crashed, claiming the lives of 23 people, including 8 Manchester United players and 3 officials.
In 1985, 39 fans died aft being crushed against a partition which collapsed earlier the European Cup last betwixt Liverpool and Juventus astatine Heysel Stadium successful Brussels, portion 97 supporters died arsenic a effect of a terrace crush astatine Liverpool's FA Cup semi-final against Nottingham Forest astatine Hillsborough successful 1989.
"When the rivalry becomes excessively aggravated it tin spell to places that are not bully for anyone and we bash not request this," Klopp added.
"We bash privation the noise, we bash privation the juncture to beryllium partisan and we bash privation the ambiance to beryllium electric. What we bash not privation is thing that goes beyond this and this applies particularly to the benignant of chants that person nary spot successful football.
"If we tin support the passionateness and suffer the poison, it volition beryllium truthful overmuch amended for everyone."
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