From particular polynomials, we construct rational solutions to the Burgers' equation as a quotient of a polynomial of degree n − 1 in x and n − 1 − n 2 in t, by a polynomial of degree n in x and n 2 in t, [n] being the greater integer less or equal to n. We call these solutions, solutions of order n. We construct explicitly these solutions for orders 1 until 20.