This remaining second round tie saw St Michael's triumph at Donnybrook yesterday with crucial misses inevitably leading to Belvedere's downfall.
They managed only one kick out a possible five and that came at the end when Eamon Fitzgerald landed a difficult conversion from a Cliff Murphy try.
Belvedere had begun promisingly but St Michael's opened the scoring with a Stephen McGrath penalty on 23 minutes.
The centre then took a pass from George Byron to go over for a try just before the interval and he stretched the lead on 45 minutes with another kick from in front of the posts.
BELVEDERE COLLEGE: E Fitzgerald; I Mc Donald, I Flynn, K Barden, M McCarthy; C O'Loughlin, C Miley; N Taaffe, N Gallagher, C Mitchell, J Bolger, L McGrath, C Murphy, D Keane, D O'Kane. Replacements: B O'Neill for Miley (53 mins), C Ginty for Bolger (54 mins), H Delap for C Mitchell (58 mins).
ST MICHEAL'S COLLEGE: B Rainey; C Gilbride, S McGrath, S Mitton, J Buckley-Barnes; G Byron, M Gibbons; A Murphy, A Kelly, N Best, B Dunne , P Foley, H Carroll, J McCarthy, D Carroll. Replacements: R Kenny for Dunne (53 mins).
Referee: A Lewis (ARLB).