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Abstract We propose a covariant holographic conjecture for the entanglement negativity of bipartite mixed states in $$(1+1)$$ (1+1) -dimensional conformal field theories dual to bulk non static $$AdS_{3}$$ AdS3 configurations. Application of our conjecture to $$(1+1)$$ (1+1) -dimensional conformal field theories dual to bulk non extremal and extremal rotating BTZ black holes exactly reproduce the corresponding entanglement negativity obtained through the replica technique, in the large central charge limit. We briefly discuss the issue of the generalization of our conjecture to higher dimensions.