Barry McHugh ran onto the pitch at Tannadice to celebrate with his team’s players when they scored during the Europa League qualifier in August.
The 26-year-old was banned from attending football games for three years and ordered to carry out 110 hours community service at Dundee Sheriff Court on Monday.
McHugh admitted invading the pitch to celebrate with players, before jumping back into the stand and trying to hide from authorities.
Vicki Lee Bell, football liaison prosecutor for the North of Scotland, said: "The actions of Barry McHugh were both irresponsible and reckless and brought shame on him and our national game.
"Football matches should be an enjoyable experience for all and should not be marred by such behaviour. The Crown Office and Procurator Fiscal Service will continue to adopt a zero-tolerance approach to football related disorder of any kind."
McHugh ran onto the pitch after his team went 1-0 up to a Willo Flood goal, before the match finished 2-2.
In a separate incident during the game three supporters were arrested and seven ejected from the ground after Russian fans allegedly climbed into a home section of the ground and started fighting with Dundee United fans.