The paper presents analysis of the stress and deflections changes due to creep in statically determinate composite steel-concrete beam. The mathematical model involves the equation of equilibrium, compatibility and constitutive relationship, i.e. an elastic law for the steel part and an integral-type creep law of Boltzmann-Volterra for the concrete part. On the basis of the theory of the viscoelastic body of Arutyunian-Trost-Bažant for determining the redistribution of stesses in beam section between concrete plate and steel beam with respect to time ‘t‘, two independent Volterra integral equations of the second kind have been derived. Numerical method based on linear approximation of he singular kernal function in the integral equation is presented. Example with the model proposed is investigated. The creep functions is suggested by the ACI 209R-92 model. The elastic modulus of concrete Ec(t) is assumed to be constant in time ‘t‘. The obtained results are compared with the results from the model CEB MC90-99. and Obsahuje seznam literatury