We present Orion A giant molecular cloud core catalogs, which are based on a 1.1 mm map with an angular resolution of 36 '' (similar to 0.07 pc) and (CO)-O-18 (J = 1-0) data with an angular resolution of 26.4 '' (similar to 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 x 10(2) M-circle dot, and 0.3 x 10(4)-9.2 x 10(6) cm(-3), respectively. We have identified 235 cores from the (CO)-O-18 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-circle dot, and (0.8-17.5) x 10(3) cm(-3), respectively. From the comparison of the spatial distributions between the dust and (CO)-O-18 cores, four types of spatial relations were revealed: (1) the peak positions of the dust and (CO)-O-18 cores agree with each other (32.4% of the (CO)-O-18 cores), (2) two or more (CO)-O-18 cores are distributed around the peak position of one dust core (10.8% of the (CO)-O-18 cores), (3) 56.8% of the (CO)-O-18 cores are not associated with any dust cores, and (4) 69.3% of the dust cores are not associated with any (CO)-O-18 cores. The data sets and analysis are public.