She'll be supported by Bala Gnanapragasam who's been named vice-president.
Rev Youngson currently chairs the London Methodist District - a role she's held for the past five years.
Speaking about her election, she said: "I am delighted and humbled at the confidence shown in me by members of the Conference.
"The context of mission for the Methodist Church is challenging and exciting and I feel hugely privileged to be able to contribute to that in a new way,"
Mr Gnanapragasam currently serves on the board of Christian Aid and has previously served as an elected councillor for the London Borough of Lewisham and as the Chair of University Hospital Lewisham.
The role of President of the Methodist Conference is reserved for ministers and Vice-President for lay people or deacons.