Using an intracavity laser spectrometer the "2-0" transition absorption spectrum of molecular hydrogen, induced by an electric field, was measured in the 1-μm spectral range. The integral absorption coefficient measured for the lines Q2(0), Q2(1), and Q2(2) have made it possible for the first time to determine the matrix element of the mean polarizability a for the "2-0" transition of the H molecule. The value of α20 averages 0.0176 A3 over three measurements.