We present the measurement of the top pair production cross-section at Tevatron in p anti-p collisions at 1.96 TeV. We also compare selected kinematical distributions with the predictions of the Standard Model. In the dilepton mode, we select events with two charged leptons, high missing transverse energy and at least 2 jets. In the lepton+jets mode, we select events with one charged lepton, high missing transverse energy and at least 3 jets. We present several complementary measurements using kinematic discrimination and/or b-tagging. In the all-hadronic channel, we select events with > 6 jets and < 8 jets. We present a measurement using an optimized kinematic selection and events with one or more displaced secondary vertices. We also report on the search for non-standard model resonance states in the invariant mass spectrum of top pairs in lepton+jets events. We present two complementary measurements, one adopts an event reconstruction technique that uses matrix element information to increase the sensitivity for discovery, the other performs a constrained kinematic fit and requires b-tagging.