As a secondary school student, Soe played in Student football competitions. In 2004, he went to Mandalay Institute of Sports and was chosen for Myanmar U-16 on the same year. He then played for Da Gun FC of Myanmar Premier League between 2004–2005 season. After Da Gun FC was dissolved in 2006, Soe Min Oo moved to YCDC FC. From 2007 onwards, he has been playing for the current club, Kanbawza where he remains until now. In 2009 when Myanmar went into professional football to replace out-of-favour MPL, Soe remains with Kanbawza despite many interests from clubs around the country. Soe Min Oo was the top scorer in 2009 AFC President's Cup. On 3 April 2016, he scores his 100th goal in Myanmar National League to become the first local player and second overall (after César Augusto) to reach this statistic.