La 4 Ba 2.6 Ca 1.4 (Mn 4 Ca)O 19 , a novel hexagonal perovskite-intergrowth manganate, was synthesized by solid-state reaction. It crystallizes in the space group C2/m (no. 12) with the lattice parameters of a ) 9.8394(4) Å, b ) 5.6823(2) Å, c ) 15.6435(3) Å, and β ) 102.093-(5), cell volume of 855.21(5) Å 3 , and Z ) 2. The structure was investigated by electron, X-ray, and neutron diffraction techniques and fully resolved by refinements of both X-ray and neutron powder diffraction data. The structure can be described as alternate stacking of 6H-type hexagonal perovskite blocks and graphite-like Ca 2 O sheets. In the hexagonal perovskite block, Mn and Ca cations occupy the octahedral sites of the corner-shearing and face-shearing octahedra, respectively. Preferred La/Ba and Ca/La substitution at the ratio of 7:3 was observed over specific crystallographic sites. La 4 Ba 2.6 Ca 1.4 (Mn 4 Ca)O 19 is an n ) 5 member of the A n+1 Mn n O 3n+3 (Ca 2 O) series in which 1 / 5 of the Mn atoms in the 6H-hexagonal perovskite blocks are replaced by Ca. A structural principle that is based on alternate stacking of close-packed [AO 3 ] layers and graphite-like sheets is introduced for structural prediction of new hexagonal perovskite intergrowth compounds.