Checking the variability of the gravitational constant with binary pulsars

The most precise measurements are done at present by timing of radiopulsars in binary systems with two neutron stars. The timing measurements of the Taylor-Hulse pulsar give the most precise results on testing of general relativity (GR), finding implicit proof of existence of gravitational waves. We show that the existing measurements, used for checking the variability of the fundamental constants, give the upper limit for the variation of the gravitational constant Ġ/G = (4.3±4.9)·10 year. Timing measurements of the binary pulsar J0737-3039 undoubtfully should give more precise results in the nearest future.