An algebra A with multiplication A × A → A , ( a, b ) → a ∘ b , is called right-symmetric, if a ∘ ( b ∘ c ) − ( a ∘ b ) ∘ c = a ∘ ( c ∘ b ) − ( a ∘ c ) ∘ b , for any a , b , c ε A . The multiplication of right-symmetric Witt algebras W n = { d ∂ i : u ε U , U = K[ x 1 ±1 , …, x ±1 n ], or = K[ x 1 , …, x n ], i = 1, …, n }, p = 0, or W ( m ) = { u∂ i : u ε U , U = O n .( m )}, p > 0, are given by u∂ i ∘ u∂ j = ν∂ j ( u ) ∂ i . An analogue of the Amitsur-Levitzki theorem for right-symmetric Witt algebras is established. Right-symmetric Witt algebras of rank n satisfy the standard right-symmetric identity of degree 2 n + 1 : Σ σε Sym 2 n sign( σ ) a σ (1) ∘ ( a σ (2) ∘ … ∘ ( a σ (2 n ) ∘ a 2 n +1 ) …) = 0. The minimal degree for left polynomial identities of W n r sym , W n +r sym , p = 0, is 2 n + 1. All left polynomial identities of right-symmetric Witt algebras of minimal degree follow from the left standard right-symmetric identity S 2 n r sym = 0, if p ≠ 2.