Mr Corbyn called it "positive and constructive", and insisted he was "absolutely committed to rooting out anti-Semitism from our party and our society".
"We welcome the fact that Mr Corbyn's words have changed but it is action by which the Jewish community will judge him and the Labour Party".
He also said that over 20 officials had been expelled from the party in the past two weeks due to anti-Semitic behavior, with many more now under investigation.
First, they undermine Labour's "brand" - a party that stands for equal rights and anti-racism.
Speaking of last month's anti-Semitism protest, which saw Labour MPs say "enough is enough", Ms Manson said: "The demonstration wasn't against anti-Semitism".
Much of the fiercest criticism regarding Corbyn's leadership came from his own party's benches, particularly from Labour's Jewish parliamentarians.
The manager of Corbyn's office, Laura Murray, apologized for the cancellation and vowed the Labour leadership was committed "to engaging with the Jewish community".
They said Mr Corbyn did not agree with proposals there should be a fixed timetable to deal with complaints of anti-Semitism against Labour members.
Since unexpectedly becoming Labour leader in 2015 after decades spent on the left-wing fringes of the party, Corbyn has repeatedly faced accusations of turning a blind eye to anti-Semitic comments in the party and among groups he supports.
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You can knock some of our passing that went astray, but you can't knock me for that. "We try and limit those mistakes every week".
Mr Corbyn said: 'When members of Jewish communities express genuine anxieties, we must recognise them as we would those of any other community.
Labour's shadow community secretary and Greater Manchester MP Andrew Gwynne has acknowledged that his party has a problem with anti semitism.
Further steps would be outlined "in the coming weeks".
"Many of those issues we agreed to implement, or we were already implementing - or we agreed to consider them in more detail". On reflection I can see why they were upset and I apologise.
And the "vast majority" of cases involving anti-Semitism allegations will be dealt with by July, he added.
But in their statement, they said: "We are disappointed that Mr Corbyn's proposals fell short of the minimum level of action which our letter suggested".
"My party and I are sorry for the hurt and distress caused", he said.
A separate round table event organised by Mr Corbyn on Wednesday has been postponed.
Expectations before Tuesday's meeting were low, reported British broadcaster ITV, with little progress being made in preparatory discussions on Monday between representatives from the Jewish groups and Seumas Milne, Corbyn's director of strategy and communications.
Supporters of Corbyn have claimed the row has been stoked up by his opponents to damage him.