Gravitational lens models for the double quasar 0957+561 predict that there should be a time delay of roughly 1 year between the arrival of wave fronts from the two images. In order to measure this delay, the flux densities were monotored at λ = 6 cm of 0957+561A and 0957+561B since 1979. The flux curves of the two images constructed from the VLA data are presented, which are accurate to 2% of the image flux densities. The VLA data are best fitted by a time delay of 1.40 ± 0.1 yr (513 ± 40 days, A leading), with a magnification ratio (B/A) of 0.697 ± 0.003. The error estimates were obtained through Mont Carlo methods, and include 68% of the simulated solutions