In this paper we establish the orbital stability of periodic waves related to the logarithmic Korteweg-de Vries equation. Our motivation is inspired in the recent work , in which the authors established the well-posedness and the linear stability of Gaussian solitary waves. By using the approach put forward recently in to construct a smooth branch of periodic waves as well as to get the spectral properties of the associated linearized operator, we apply the abstract theories in and to deduce the orbital stability of the periodic traveling waves in the energy space Ver menos