  We construct a new family of N-fold supersymmetric systems which is referred
to as ``type B''. A higher derivative representation of the N-fold supercharge
for this new family is given by a deformation of the type A N-fold supercharge.
By utilizing the same method as in the sl(2) construction of type A N-fold
supersymmetry, we show that this family includes two of the quasi-solvable
models of Post-Turbiner type.
