<p>The deformation of microstretch elastic solids is described by the displacement vector, the microrotation vector and the microstretch function. This paper presents a theory of prestressed microstretch elastic solids. First, the nonlinear theory of microstretch continua is used to establish the equations governing the infinitesimal deformation superposed on large deformations. Then, the linear theory of microstretch elastic solids with initial stresses and couple stresses is derived. The continuous dependence of solutions upon body loads and initial data is investigated.</p>