  In this paper we propose a holographic duality for classical gravity on a
three-dimensional de Sitter space. We first show that a pair of SU$(2)$
Chern-Simons gauge theories reproduces the classical partition function of
Einstein gravity on a Euclidean de Sitter space, namely $\mathbb{S}^3$, when we
take the limit where the level $k$ approaches $-2$. This implies that the CFT
dual of gravity on a de Sitter space at the leading semi-classical order is
given by an SU$(2)$ Wess-Zumino-Witten (WZW) model in the large central charge
limit $k\to -2$. We give another evidence for this in the light of known
holography for coset CFTs. We also present a higher spin gravity extension of
our duality.
