The Fufa president was sanctioned by Fifa for reselling tickets relating to the 2014 World Cup.
Mr Magogo had taken charge of Ugandan football just a year earlier.
Fifa said Mr Magogo had entered into a plea bargain with the organisation.
“An investigation into Mr Magogo was opened on 23 July 2018 related to the resale of 2014 World Cup tickets,” Fifa said in a statement.
While the investigation was ongoing, Mr Magogo was allowed to contest Confederation of African Football elections – gaining a place on the body’s Executive Committee in July.
He will serve his suspension until 10 December 2019.
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