The varietydpk1,1consists of those algebras (L;⋁,⋀,f,*,0,1) of type (2,2,1,1,0,0) where (L;⋁,⋀,f,0,1) is an Ockham algebra in whichf3=f, (L;⋁,⋀,*,0,1) is a demi-pseudocomplemented lattice, and the unary operationsfand*commute. Here we give a description of the structure of the lattice of congruences of a subdirectly irreducible algebra indpk1,1.