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We extend the quantum discord to continuous variable systems and evaluate Gaussian quantum discord C(\rho) for bipartite Gaussian states. In particular, for squeezed thermal states (STS), we explicitly maximize the extractable information over Gaussian measurements: C(\rho) is minimized by a generalized measurement rather than a projective one. Almost all STS have nonzero Gaussian discord: they may be either separable or entangled if the discord is below the threshold C(\rho)=1, whereas theydoi:10.1103/physrevlett.105.020503 pmid:20867693 fatcat:fbm7exkw4bczzpaeep7yhlf4mi