Striker Salhadin Said scored a goal in each half to give his team a cushion for the return leg match.
St George are currently two points clear at the top of the Ethiopian Premier League after 14 matches. The team had 50 traveling fans for the game.
The return leg takes place on Sunday, February 19, 2017 in the southern Ethiopian city of Hawassa.
St George are literally assured of advancing to the next round where they will face AC Leopards (Congo) or UMS de Loum (Cameroon) at the 1/16th round.
The format for the 2017 Total CAF Champions League has been modified and the tournament now has 16 participants in the group stages.
The change was announced by the Confederation of African Football (CAF) at its 38th Ordinary General Assembly last year.