Acoustically induced electric polarization and its anisotropy in soft fibrous biological tissues were investigated under wet conditions. Assuming that fibrous tissues have polar uniaxial symmetry, stress-induced polarization should occur in the direction of fiber orientation in the non-shear terms of the piezoelectric tensor. Using the acoustically stimulated electromagnetic method, we measured the anisotropic properties of acoustically induced polarization in wet samples of Achilles tendon, skeletal muscle, and aortic wall. In all these tissues, the major non-shear term was confirmed to be d
33, with polarization occurring along the fibrous direction. In Achilles tendon, which contains highly oriented collagen fibers, the uniaxially symmetric fiber structure explains the anisotropic polarization well. However, substantial polarization perpendicular to the fiber orientation (the d
11 term) was observed in skeletal muscle and aortic wall, suggesting that the presence of fiber crimps and complex extracellular matrix produces polarization that does not occur in the uniaxially symmetric structures.