  In this paper we consider the critical gravity in four dimensional de Sitter
space-time. We obtain logarithmic modes in the critical point of the theory.
Then we show that these logarithmic modes in de Sitter space-time obey similar
properties as the ones in AdS-space-time. Our result in this paper indicate
that critical gravity theories in de Sitter space-times could lead to a de
Sitter/log CFT correspondence.
