Co nuclear magnetic resonance ͑NMR͒ measurements have been performed to study the local magnetic properties of the misfit layered cobalt dioxides ͑MLCO's͒ with the CoO 2 and rock-salt layers, ͓Ca 2 CoO 3 ͔ 0.62 CoO 2 ͑ϵCa 3 Co 3.92 O 9.34 ͒ and Ca 3 Co 3.92 O 9.34−␦ with oxygen nonstoichiometry. The 59 Co NMR spectrum consists of mainly five lines at 4.2 K at which the samples are in a magnetically ordered state. Among the five NMR lines for Ca 3 Co 3.92 O 9.34 , three lines at higher frequencies ͑f's͒ satisfy the resonance condition with two branches indicating the presence of antiferromagnetic internal fields ͑H int 's͒. The other two lines exhibit one branch, and one of the two has a nonzero H int under zero external field ͑ZF͒, which signifies the existence of ferromagnetic ͑FM͒ H int 's. The other has a zero H int under ZF. By taking account of both the valence state of the Co ions in each layer and the lattice modulation due to the misfit between the CoO 2 layer and the rock-salt layer, the NMR spectra at higher f's are attributed to the Co in the rock-salt layer, whereas those at lower f's to the Co in the CoO 2 layer. Furthermore, a spin-density wave order appears to coexist with a FM order in the CoO 2 layer for MLCO's. The magnetic and transport properties of these materials are discussed in terms of a separation between two phases.