Fractional　q-calculus　plays　an　extremely　important　role　in　mathematics　and　physics.　In　this　paper,　we　aim　to　investigate　the　existence　of　triple-positive　solutions　for　nonlinear　singular　fractional　q-difference　equation　boundary　value　problems　at　resonance　by　means　of　the　fixed-point　index　theorem　and　the　q-Laplace　transform,　where　the　nonlinearity　f(t,u,v)　permits　singularities　at　t=0,1　and　u=v=0.　The　obtained　theorem　is　well　illustrated　with　the　aid　of　an　example.