Amos Yee, 16, posted the video online alongside an image of the late Singaporean leader Lee Kuan Yew in March 2015.
The court sentenced him on Monday to jail time already served.
He was imprisoned June 2nd for four weeks, which means he could be released immediately after spending 50 days in remand.
The teenager's lawyer said Mr Yee would appeal against both the conviction and sentence.
The video contained what could be seen as offensive references to Jesus shortly after Lee Kuan Yew, Singapore's first prime minister, died.
He also put on his blog an image where the faces of Lee and late British politician Margaret Thatcher were superimposed, according to Reuters.
Mr Yee was charged with spreading obscene images, offending a religious group and harassment.
The final charge was dropped.
This case has re-begun debates surrounding censorship and social controls in Singapore, and has been criticised by human rights activists.
