  We show that every proper, smooth 2-knot is ambient isotopic to a polynomial
embedding from $\mathbb{R}^2$ to $\mathbb{R}^4$. This representation is unique
up to a polynomial isotopy. Using polynomial representation of classical long
knots we show that all twist spun knots posses polynomial parametrization. We
construct such parametrizations for few spun and twist spun knots and provide
their $3$ dimensional projections using Mathematica.
