Merseyside police said several people were injured in the celebrations and that fireworks were aimed at the city’s iconic liver building, causing a small fire, with police involved in several violent clashes.
Thousands of people had also gathered outside Anfield Stadium after Liverpool were confirmed champions of England.
“I’m a human being and your passion is also my passion, but right now the most important thing is that we don’t have these kinds of public meetings,” Klopp wrote.
“We owe it to the most vulnerable in our community, to the health workers who have given so much and to whom we have applauded and to the police and local authorities who help us as a club not to do so.
“Please celebrate it, but celebrate it safely and in private settings, so we don’t risk spreading this horrible disease to our community.”
‘Please stay home’
Over the weekend, Liverpool Mayor Joe Anderson reiterated his request for fans not to gather and said he was left frustrated by those who ignored the club’s warnings, health experts and authorities.
“I say what I say with sorrow, rather than anger, because people’s lives, your lives, their lives, are in danger.”
The club has repeatedly told fans not to gather outside the stadiums before, during or after the remaining fixtures.
Liverpool face Manchester City in the Premier League on Thursday before returning to Anfield to play Aston Villa on Sunday.
Klopp promised fans that they would have the opportunity to celebrate with the team one day, but only when it was safe.
“When the time comes we will celebrate. We will enjoy this moment and paint the city red. But for now, please stay home as long as possible,” he continued.
“This is not the time to be in large numbers in the city center or to go near football fields.”
He added: “I already knew and liked the German word solidarität before coming to Liverpool and now I have learned that the English word is solidary because I have heard it used by our fans over the last few months.
“For me, it’s the word more than any other that captures what Liverpool are. That’s why they’ve come together to do PPE, that’s why they’ve delivered packages and medicines to people when they need it most and it’s that’s why they come together in so many different ways during such a difficult time. “