In this paper, we study chaotic synchronization in lattices of coupled Lorenz equations with Neumann or periodic boundary condition. Three different coupling configurations in the single x(i)-, y(i)- or z(i)-component are considered. Synchronization is affected by coupling rules. We prove that synchronization occurs for either x(i)- or y(i)-component coupling provided the coupling coefficient is sufficiently large. Moreover, we determine the dependence of coupling coefficients on the lattice size. For the case of the zi-component coupling, we demonstrate by numerical experience that the synchronization cannot occur.