Based on a soliton hierarchy associated with so(3,R), we construct two integrable nonlocal PT-symmetric generalized 
mKdV equations. The key step is to formulate two nonlocal reverse-spacetime similarity transformations for the involved 
spectral matrix, and therefore, integrable nonlocal complex and real reverse-spacetime generalized so(3,R)-mKdV equations of fifth-order are presented. The resulting reduced nonlocal integrable equations inherit infinitely many commuting symmetries and conservation laws.