Singha joined the district court as an advocate on 3 March 1979.[4]
On 4 April 1983, Singha was appointed a district munsif.[4]
Singha became a district and sessions judge on 24 February 2000.[4]
On 12 December 2010, Singha was appointed to the High Court Division of the Supreme Court.[4] He became a permanent judge of the High Court Division 12 December 2012.[4] He is also the dean of the law department at Premier University.[4]