We present Orion A giant molecular cloud core catalogs, which are based on 1.1 mm map with an angular resolution of 36 ′′ (∼ 0.07 pc) and C 18 O (J=1-0) data with an angular resolution of 26.4 ′′ (∼ 0.05 pc). We have cataloged 619 dust cores in the 1.1 mm map using the Clumpfind method. The ranges of the radius, mass, and density of these cores are estimated to be 0.01 -0.20 pc, 0.6 -1.2 × 10 2 M ⊙ , and 0.3 × 10 4 -9.2 × 10 6 cm −3 , respectively. We have identified 235 cores from the C 18 O data. The ranges of the radius, velocity width, LTE mass, and density are 0.13 -0.34 pc, 0.31 -1.31 km s −1 , 1.0 -61.8 M ⊙ , and (0.8 -17.5) × 10 3 cm −3 , respectively. From the comparison of the spatial distributions between the dust and C 18 O cores, four types of spatial relations were revealed:(1) the peak positions of the dust and C 18 O cores agree with each other (32.4% of the C 18 O cores), (2) two or more C 18 O cores are distributed around the peak position of one dust core (10.8% of the C 18 O cores), (3) 56.8% of the C 18 O cores are not associated with any dust cores, and (4) 69.3% of the dust cores are not associated with any C 18 O cores. The data sets and analysis are public.1 The data sets and annotation files for M IRIAD and KARM A of Tables 2 and 4 are available at the NRO star-formation project web site via http://th.nao.ac.jp/MEMBER/nakamrfm/sflegacy/data.html . 2 James Clerk Maxwell Telescope 2.2. The C 18 O (J=1-0) emission line 2.2.1. Core identification in the C 18 O mapThe overall distribution of the C 18 O emission and the velocity structure are described by Shimajiri et al. (2014). To identify cores from the C 18 O (J=1-0) data, we applied the Clumpfind algorithm (Williams et al. 1994) to the C 18 O (J=1-0) cube data with an angular resolution of 26 ′′ .4 and a velocity channel width of 0.104 km s −1 . Here, note that we applied the Gaussian gridding convolution function (GCF) with 22 ′′ .5 FWHM size to the original C 18 O data, resulting in the effective angular resolution of 26 ′′ .4, and did no smoothing in