  A Chebyshev knot is a knot which admits a parametrization of the form $
x(t)=T_a(t); \ y(t)=T_b(t) ; \ z(t)= T_c(t + \phi), $ where $a,b,c$ are
pairwise coprime, $T_n(t)$ is the Chebyshev polynomial of degree $n,$ and $\phi
\in \RR .$ Chebyshev knots are non compact analogues of the classical Lissajous
knots. We show that there are infinitely many Chebyshev knots with $\phi = 0.$
We also show that every knot is a Chebyshev knot.
