TECHNOLOGY FOCUS - POLYMERS - Preferred Method: The organic-inorganic hybrid material is produced by polymerizing a compound of structure (1-1). A1-(Si(X1)3-m11(R11)m11)n11 (1-1)A1 = organic atomic group that contains mesogen group or at least 4C alkylene;R11 = alkyl, aryl or heterocyclic;X1 = halo or OR14;R14 = H, alkyl, aryl or silyl;m11 = 0-2; andn11 = 1-10.When m11 or 3-m11 is at least 2, then R11s and X1s may be the same or different. The organic-inorganic hybrid material is produce by three-dimensionally crosslinking a precursor that is an organosilicon compound that has an alkoxysilyl group, a mesogen group and a substituent group capable of forming a carbon-carbon or a carbon-oxygen bond through polymerization. It is also produced through a sol-gel reaction of a precursor that is organosilicon compound of structure (2-1).(R23)n22-A2-(Si(OR21)3-m21(R22)m21)n21 (2-1)A2 = organic atomic group containing mesogen group;R21 = alkyl;R22 = alkyl, aryl or heterocyclic;R23 = substituent capable of forming a carbon-carbon bond or carbon-oxygen bond through polymerization;m21 = 0-2;n21 = 1-10; andn22 = 1-5.When 3-m21 or m21 is at least 2, then R21s or R22s may be the same or different. When n22 is at least 2, then R23s may be the same or different. The organic-inorganic hybrid material is produced through crosslinking polymerization of a precursor that is a polymer having in the side branches, an atomic group that contains an alkoxysilyl group, mesogen group or alkylene group. Preferred Component: The precursor is a polymer having a repeating unit of structure (3-1).A3 = organic atomic group that contains a mesogen group and alkylene group;R31 = alkyl;R32 = alkyl, aryl or heterocyclic;E3 = alkyleneoxy, alkylene or siloxy;L3 = linking group;m31 = 0-2;n31 = 1-10;n32 = 1-5.When 3-m31 or m31 is at least 2, then R31s or R32s may be same or different.Preferred Compound: The organic-inorganic hybrid material further comprises a compound of structure -(Y14)n14-A14-(Z14)n13 or (1-5), where the amount of the compound is 1-50 mol.% relative to the precursor.A14, A15 = organic atomic group having mesogen group and at least 4C alkylene group;Z14, Z15 = substituent not changing in sol-gel reaction or H;n13, n15 = 1-8;n14 = 0-4;n16 = 1-5;Y14 = polymerizing group that may form carbon-carbon bond or carbon-oxygen bond through polymerization;L15 = linking group;E15 = alkyleneoxy, alkylene or siloxy.When n13 or n15 is at least 2, then Z14s or Z15s may be the same or different.Preferred Material: The organic-inorganic proton-conductive material contains a proton source that imparts proton conductivity into the organic-inorganic hybrid material. The proton source is phosphorus compounds, organic sulfonic acids or perfluorocarbon sulfonic acid polymers.