Here we report the magnetic properties of the layered cobalt oxide system, Li x CoO 2 , in the whole range of Li composition, 0 Յ x Յ 1. Based on dc-magnetic-susceptibility data, combined with results of 59 Co nuclear magnetic resonance ͑NMR͒ and nuclear quadrupole resonance ͑NQR͒ observations, the electronic phase diagram of Li x CoO 2 has been established. As in the related material Na x CoO 2 , a magnetic critical point is found to exist between x = 0.35 and 0.40, which separates the Pauli-paramagnetic and Curie-Weiss metals. In the Pauli-paramagnetic regime ͑x Յ 0.35͒, the antiferromagnetic spin correlations systematically increase with decreasing x. Nevertheless, CoO 2 , the x = 0 end member is a noncorrelated metal in the whole temperature range studied. In the Curie-Weiss regime ͑x Ն 0.40͒, on the other hand, various phase transitions are observed. For x = 0.40, a susceptibility hump is seen at 30 K, suggesting the onset of static antiferromagnetic order. A magnetic jump, which is likely to be triggered by charge ordering, is clearly observed at T t Ϸ 175 K in samples with x = 0.50 ͑=1 / 2͒ and 0.67 ͑=2 / 3͒, while only a tiny kink appears at T Ϸ 210 K in the sample with an intermediate Li composition, x = 0.60. Thus, the phase diagram of the Li x CoO 2 system is complex and the electronic properties are sensitively influenced by the Li content ͑x͒.