Suppose R is nonnegative commutative semiring without zero divisors

let Mn (R) be the matrix semiring of all n × n matrices over R. A linear transformation T from Mn(R) to itself

is said to permanent preserver if per(T(X)) = per(X) for every X∈Mn(R). The surjective linear transformation on Mn(R) that preserves permanent is characterized when n≥2 in this paper. The conclusion enriches the results of linear preserver problems on semiring.