  In the context of dS$_3$/CFT$_2$, we propose a timelike entanglement entropy
defined by the renormalization group flow. This timelike entanglement entropy
is calculated in CFT by using the Callan-Symanzik equation. We find an exact
match between this entanglement entropy and the length of a timelike geodesic
connecting two different spacelike surfaces in dS$_3$.The counterpart of this
entanglement entropy in AdS$_3$ is a spacelike one, also induced by RG flow and
extends all the way into the bulk of AdS$_3$. As a result, in both
AdS$_3$/CFT$_2$ and dS$_3$/CFT$_2$, there exist exactly three entanglement
entropies, providing precisely sufficient information to reconstruct the
three-dimensional bulk geometry.
