  We present a method of defining projectors in the virtual Temperley-Lieb
algebra, that generalizes the Jones-Wenzl projectors in Temperley-Lieb algebra.
We show that the projectors have similar properties with the Jones-Wenzl
projectors, and contain an extra property which is associated with the virtual
generator elements, that is, the product of a projector with a virtual
generator is unchanged. We also show the uniqueness of the projector $f_n$ in
terms of its axiomatic properties in the virtual Temperley-Lieba algebra
$VTL_n(d)$. Finally, we find the coefficients of $f_n$ and give an explicit
formula for the projector $f_n$.
