The Airy stress function for a long tensile fault of arbitrary dip and finite width buried in a homogeneous, isotropic, perfectly elastic half-space with rigid boundary is obtained. This Airy stress function is used to derive closed-form analytical expressions for the stresses at an arbitrary point of the half-space with rigid boundary caused by a long vertical tensile fault of finite width. The variation of the stress fields with distance from the fault and depth is studied numerically.