Corbyn, who said he had recently received death threats, reacted after the attack on the constituency office of his Labour leadership challenger Angela Eagle.
The incident follows repeated complaints by Labour MPs -- particularly women -- that they have been subjected to threats and abuse from Corbyn's supporters if they speak out against the party leader.
Socialist stalwart Corbyn, who is highly popular with party members, has lost the confidence of three-quarters of his party's MPs, triggering Eagle to step forward on Monday.
"I am calling on all Labour Party members and supporters to act with calm and treat each other with respect and dignity, even where there is disagreement.
Also Read
"I utterly condemn any violence or threats, which undermine the democracy within our party and have no place in our politics."
An event involving Eagle, a senior figure within the party, was moved to a new venue today after the hotel where it was due to be held received threats.
Paul Stuart, co-vice chairman of the Wallasey Constituency Labour Party, said Eagle was "disgusted" and "deeply concerned".
He said that over the past year, bullying and intimidation at meetings had been "getting nastier and nastier".
"All this hate and vile behaviour that's within the party that's aimed at Angela for challenging the leadership is a minority. They are bullies, they are just vile people," he added.
Labour's ruling National Executive Committee was to decide today whether Corbyn, like Eagle, needs to secure the support of 20 percent of fellow party MPs and members of the European Parliament to get his name on the leadership contest ballot.