Let F be an algebraically closed field of prime characteristic,and W(m,n,1) be the simple restricted Lie superalgebra of Witt type over F,which is the Lie superalgebra of superderivations of the superalgebra 21(m;1) (×) ∧(n),where 2((m;1) is the truncated polynomial algebra with m indeterminants and ∧(n) is the Grassmann algebra with n indeterminants.In this paper,the author determines the character formulas for a class of simple restricted modules of W(m,n,1) with atypical weights of type Ⅰ.