Carlitz [2] proved that the integraî formuîa of Kogbetlianz [6] together with the relation Lj« (x) = 1 + a — X characterize Laguerre polynomials. The author has proved a q-analogue of the formula of Kogbetliantz [6] and proved a similar characterization for q-Laguerre polynomials on for q-Laguerre polynomials introduced by Jackson and also has given some integraî representations of q-Laguerre polynomials.