We present results of AKARI observations toward 8 dense molecular cores which are previously known to be "starless". These cores show some spectral features which may imply characteristic internal motions. The observations were carried out at 8 bands (3, 4, 7, 11, 65, 90, 140, and 160 micron) with IRC and FIS instruments equipped in the AKARI. The archive data of 2MASS and Spitzer were also utilized. We found that 1 (L1582A) of 8 cores has a few embedded young stellar objects (YSOs) while the rest of them are still starless. The YSOs found in L1582A are identified by the slope of the spectral energy distribution or by the AKARI color-color diagram. The unusually broad linewidth toward L1582A, which is twice broader than one of starless cores, is also consistent with the existence of protostars in this core. The physical environment and evolution of the other "starless" cores where any AKARI point source is not detected will be discussed with help of their molecular line observations.