Summary: A general solution of the equations in the linearized theory of magnetoelasticity, which was earlier developed on the basis of Brown’s phenomenological theory of magnetoelasticity, is obtained. The magnetic fields caused by the mechanical singularities in a magnetized elastic half-space are considered. Using the general solution and the Mindlin state of elastic half-space, the exact three-dimensional solutions for the generated magnetic fields due to various mechanical singularities, such as a single force and a doublet, are obtained in closed form.