“The Many” stated that they would elect Corbyn as parliamentary leader if they won the CEC election.
Your Party members previously chose to adopt a collective leadership model rather than a single leader, which avoided a direct leadership contest between Corbyn and Sultana.
The two MPs launched the party last year to “take on the rich and powerful”.
Its opening months were overshadowed by splits in the party, including over money, leadership and its name.
Both Corbyn and Sultana were elected to the CEC.
Corbyn, in a statement released after the results were announced, said: “We have a precious opportunity to unite our movement around a bold vision for this country – one that believes in a more caring, equal and peaceful society for all.
“I look forward to working with all members to make this vision a reality.”
The Islington North MP said he wanted to “build a positive and inclusive party where all members feel empowered to share their ideas”.
In November, Your Party’s conference approved allowing members to have dual membership in future.
Coventry South MP Sultana did not attend the opening day of the conference in protest of the expulsion of some members who had retained their membership of other left-wing groups, such as the Socialist Workers Party.
Grassroots Left, responding to the election results, said: “All those who have been expelled should be reinstated.
“We now need a culture of mutual respect, open debate, and a shared focus on the real issues facing us: inequality, insecure work, crumbling public services, fascism, and a political establishment that keeps letting working people down.”
Sultana said members have sent a “clear message”, including about the need for “greater transparency and accountability” and for party branches to be “properly recognised and respected”.
She said “now is the time to work together”, adding: “I remain committed to building a socialist, anti-imperialist, anti-Zionist party that is democratic, member-led, and focused on delivering real material change for our communities.”