Steel-concrete composite girder is consisted of concrete slab and steel girder connected through shear connectors. Owing to shrinkage and creep of concrete, redistribution of structural internal force and stress should be caused. It is widely accepted that shrinkage and creep models of concrete possess large randomness. The influences of stochastic variation of creep and shrinkage model, compressive strength of concrete, elastic modulus model of concrete, ambient humidity, load and shear connector stiffness on structural responses of continuous steel-concrete composite beam are investigated in the present study. Through Latin Hypercube Sampling (LHS) approach, the time variant probabilistic responses of deflection, interface slip, and stress of concrete slab and steel girder of continuous steel-concrete composite beam are studied.