This paper gives some properties of homotopy regular morphisms, defines homotopy epimorphism functor and homotopy monomorphism functor, it also proves that these two functors preserve the properties of homotopy regular. 本文给出了同伦正则态射的一些性质,定义了同伦满函子和同伦单函子,证明了这两类函子保持同伦正则性。