In this paper, we introduce the concepts of adjoint, n-adjoint of a hyperideals and primal and n-primly hyperideals of a commutative multiplicative hyperrings. Many results concerning prime, n-primly, primary and primal hyperideals of a commutative multiplicative hyperrings are given, illustrated by several examples. Also we characterise all prime, primary, n-primly and primal Cu hyperideals of quotient hyperring.