139 Mn-NMR spectra demonstrate that the ground state of the A-site ordered perovskite manganite LaBaMn2O6 is a spatial mixture of the ferromagnetic (FM) and antiferromagnetic (AFI(CE)) regions, which are assigned to the metallic and the insulating charge ordered state, respectively. This exotic coexisting state appears below 200 K via a first-order-like formation of the AFI(CE) state inside the FM one. Mn spin-spin relaxation rate indicates that the FM region coexisting with the AFI(CE) one in LaBaMn2O6 is identical to the bulk FM phase of the disordered form La0.5Ba0.5MnO3 in spite of the absence of A-site disorder. This suggests mesoscopic rather than nanoscopic nature of FM region in LaBaMn2O6.PACS numbers: 75.30. Kz; 75.25.+z; The perovskite manganites R 1−x A x MnO 3 (R = rare earth, A = Ca, Ba, Sr) have been attracting much attention for several decades, because of their rich and intriguing electromagnetic properties, such as colossal magnetoresistance (CMR), charge/orbital ordering, and metalinsulator transition. The CMR effect is believed to be a consequence of competition between double-exchange ferromagnetic metal and superexchange antiferromagnetic insulating phases. However, the estimated magnetoresistive response by the double-exchange model disagrees with the experimental data by an order of magnitude or more, suggesting the importance of another additional mechanism [1]. This discrepancy may be resolved by considering a phenomenon of phase separation, where the conduction path dominating the resistance depends on the pattern of the coexisting metallic and insulating regions [2,3]. An external magnetic field may change this pattern, and hence cause a large change in the resistivity. The phase separation is, thus, an important aspect of manganites and may be an intrinsic feature in many systems with strongly correlated electrons.Recently, half-doped manganite perovskites RBaMn 2 O 6 with the A-site order have been attracting growing interest, because the ordering of R and Ba elements at the A-site of perovskite structure dramatically modifies their phase diagram [4,5,6]. Nakajima et al. have reported that the charge ordering transition temperature is as high as 500 K with a new stacking variation with a fourfold periodicity along the c-axis for YBaMn 2 O 6 [5,7]. In addition, it is important to make clear whether the disorder at the A site plays a vital role in the occurrence of CMR or not [6]. Hence, new experimental and theoretical works have been devoted to the A-site ordered perovskite manganites to elucidate the effects of A-site order/disorder on the electromagnetic properties [8,9,10].In this paper, we focus our attention on the A-site ordered LaBaMn 2 O 6 and the disordered La 0.5 Ba 0.5 MnO 3 with the same composition. The La and Ba elements are randomly distributed at the A site of perovskite structure in La 0.5 Ba 0.5 MnO 3 . On the other hand, the structural feature of LaBaMn 2 O 6 is the alternating stack of LaO and BaO layers along the c axis with intervening MnO 2 layer. The ground s...