  We derive asymptotic freedom of gluons in terms of the renormalized $SU(3)$
Yang-Mills Hamiltonian in the Fock space. Namely, we use the renormalization
group procedure for effective particles (RGPEP) to calculate the three-gluon
interaction term in the front-form Yang-Mills Hamiltonian using a perturbative
expansion in powers of $g$ up to third order. The resulting three-gluon vertex
is a function of the scale parameter $s$ that has an interpretation of the size
of effective gluons. The corresponding Hamiltonian running coupling constant
exhibits asymptotic freedom, and the corresponding Hamiltonian $\beta$-function
coincides with the one obtained in an earlier calculation using a different
generator.
