The wetting of water-glycerin gelatin gels with elastic moduli in the range of 10**5-10**6 Pa was investigated. The dependences of the surface tension and angle of wetting of the gels on their elastic properties were obtained. In addition to the change in the surface tension, two other competitive processes also affect the wetting of gels with low values of Young's modulus: a change in the linear tension on the three-phase contact line; sagging of the surface under the effect of the weight of a drop; and the excess capillary pressure inside the drop. A comparison of the theoretical and experimental results suggests that the modulus of elasticity of the surface layer of the gel is one order of magnitude smaller than the bulk modulus of elasticity.