Abstract: Robust parameter design is an engineering methodology for reducing the variation of a product or a process. If the noise factors and control factors in such a design are treated as the whole plot factors and subplot factors, then fractional factorial split-plot (FFSP) design can be used. This paper proposes a new optimal criterion for selecting FFSP designs in the robust parameter design circumstances, that is, the minimum aberration of subplot type (SP-MA) criterion. The construction theory of SP-MA FFSP designs is studied. The SP-MA FFSP designs with 8, 16, and 32 runs are tabulated.