  In this paper, we study the global regularity problem for the 2D
Rayleigh-B\'{e}nard equations with logarithmic supercritical dissipation. By
exploiting a combined quantity of the system, the technique of Littlewood-Paley
decomposition and Besov spaces, and some commutator estimates, we establish the
global regularity of a strong solution to this equations in the Sobolev space
$H^{s}(\mathbb{R}^{2})$ for $s \ge2$.
