The Norway international will continue his career in the Dutch top flight after signing a two-year deal with the Rotterdam giants
The midfielder has signed a contract until June 2014, with an option for two additional seasons.
The Eredivisie outfit were looking to add some fresh blood to their midfield following the departure of Karim El Ahmadi to Aston Villa, and they have now found their man in the 21-year-old Singh.
"He is a player with a lot of talent who will get the chance to further develop at Feyenoord. You can compare him to El Ahmadi. Our scouting team had been following Singh for a while," commented sporting director Martin van Geel.
Singh, who came through the ranks of the Valerenga youth academy, has made over 100 official appearances for the Bohemians in the past five seasons.
The versatile midfielder has been capped three times at senior level for Norway.