Labour "moderates" now fear an escalation of moves to oust MPs, councillors and candidates who are seen as not fully behind the Corbynite agenda.
Momentum was formed from Mr Corbyn's successful Labour leadership campaign and has since become a major player in the direction of the party. The trio ran on a joint Momentum slate.
Mr Lansman said the result meant that there was now a "21st century version of the Socialist party I joined 44 years ago".
Moderates led by Eddie Izzard were left trailing by more than 20,000 votes in the election.
It comes after Momentum increased its hold on Labour's executive committee.
"Thank you to party members who have voted for me in large numbers".
Mr Corbyn, appearing on ITV's Peston On Sunday, was asked if Britain's relationship with the United States was the most important relationship it has with another country.
'Defending the core values of our party and shifting the balance of power towards members is the way forward'.
Best of the the 2018 Detroit auto show so far
Options include an electronics package that features navigation, upgraded sound system and blind spot and cross traffic warnings. The power of the 2019 Mustang Bullitt is incredible , but its aesthetics also serves as great homage to McQueen's Bullitt auto .
A director of Momentum - the group set up to support Jeremy Corbyn's leadership - has taken charge of the Labour Party's disputes panel.
When long-term Labour campaigner Izzard announced his intention to stand in October, he referred to his personal challenges of coming out as a transvestite and said: 'I can break down barriers and make the Labour party more welcoming to groups who often feel isolated or excluded from taking part in the political process.
An amendment to the European withdrawal bill tabled last month by Nottingham East MP Chris Leslie, which he said would ensure the government made legal provision to remain in the customs union, won the backing of more than 60 Labour MPs, against the advice of whips.
Also missing out in today's results were Johanna Baxter, Gurinder Singh Josan, Nick Donovan, Nicola Morrison and Sarah Taylor.
The British Parliament's Opposition Leader and chief of the UK Labour Party said he was "concerned" by Israel's refusal to grant entry to members of organizations promoting the anti-Israel Boycott, Divestment, and Sanctions movement, and blasted President Donald Trump for his "failure" to back the United Nations and United Nations Educational, Scientific and Cultural Organization (UNESCO).
His election will help to tighten the Labour leader's grip on the party's internal structures.
'My hope is that Jon Lansman will not try to run the Labour party like he runs Momentum. He once promised Britain would be "front of the queue" to secure a new trade deal after Brexit, and Theresa May was the first leader to visit the White House after his inauguration.