We formulate Nazarov–Wenzl type algebras Pˆd − for the representation theory of the periplectic Lie superalgebras p(n). We establish an Arakawa–Suzuki type functor to provide a connection between p(n)-representations and Pˆd −-representations. We also consider various tensor product representations for Pˆd −. The periplectic Brauer algebra Ad developed by Moon is a quotient of Pˆd −. In particular, actions induced by Jucys–Murphy elements can also be recovered under the tensor product representation of Pˆd −. Moreover, a Poincare–Birkhoff–Witt type basis for Pˆd − is obtained. A diagram realization of Pˆd − is also obtained.