A two-dimensional model generalizing the Peierls model to the case of coupled fields of magnetization and elastic displacement distribution is proposed for describing the structure of a complex magnetoelastic topological defect which has the form of the bound state of a dislocation and a magnetic disclination in an antiferromagnet. The obtained system of nonlinear one-dimensional integro-differential equations has solutions for magnetic vortices and for magnetic disclinations connected with dislocations and having regular asymptotic forms at large distances and no singularities at the core of the topological defect. ©1998 American Institute of Physics.