In this paper, we characterize SL(2, $mathbb{C}$)-representations of an n-periodic link $ ilde{L}$ in terms of SL(2, $mathbb{C}$)-representations of its quotient link L and express the SL(2, $mathbb{C}$)-representation variety R($ ilde{L}$) of $ ilde{L}$ as the union of n affine algebraic subsets which have the same dimension. Also, we show that the dimension of R($ ilde{L}$) is bounded by the dimensions of affine algebraic subsets of the SL(2, $mathbb{C}$)-representation variety R(L) of its quotient link L.