In this talk, we focus on dS/CFT correspondence, which is a proposal for de Sitter (dS) holography analogous to AdS/CFT. This talk contains two recent works. First we consider an application of dS/CFT to evaluation of the semi-classical limit of wave function of universe. Through the procedure of analytic continuation in the CFT side corresponding to that from AdS to dS, we can find an interesting structure that only “allowable” geometries appear as saddle points of the gravitational path integral. Second, we discuss an extension of the holographic entanglement entropy formula in AdS/CFT toward dS/CFT. We propose that the holographic formula is formulated for a generalized notion of entanglement entropy, called pseudo entropy.