  The paper deals with the regularity criterion for the weak solutions to the
3D Boussinesq equations in terms of the partial derivatives in Besov spaces. It
is proved that the weak solution $(u,\theta )$ becomes regular provided that
  $(\nabla_{h}u,\nabla_{h}\theta )\in L^{\frac{8}{3}}(0,T;\dot{B}_{\infty
,\infty}^{-1}(\mathbb{R}^{3}))$
  Our results improve and extend the well-known results by Fang-Qian for the
Navier-Stokes equations.
