A three-dimensional modeling apparatus comprising: a modeling portion that models a three-dimensional object by laminating material layers formed by a material; and a control portion that controls the modeling portion, wherein the control portion is configured to execute a first modeling process that forms a plurality of convex portions that project in a lamination direction in which the material layers are laminated, which results in forming a plurality of concave portions that are recessed relative to the convex portions in the lamination direction, a second modeling process that laminates a first material layer on the convex portions, and forms a second material layer, which is spatially separated from the first material layer laminated on the convex portions, inside the concave portions; and a third modeling process that fills the concave portions with a third material layer by disposing the material on the second material layer inside the concave portions; wherein the first modeling process is a process that forms the convex portions so that the convex portions and the concave portions are alternately arranged in a first direction, which is perpendicular to the lamination direction, and a second direction, which is perpendicular to the lamination direction and the first direction; wherein the material is a paste form fluid composition, characterized in that: the first modeling process is a process that forms the convex portions by laminating two or more of the material layers, and the second modeling process is a process that respectively laminates one or more material layers on the convex portions and inside the concave portions such that a clearance of a thickness equivalent to two layers of the material layers is maintained between the first material layer of the convex portions and the second material layer inside the concave portions. a modeling portion that models a three-dimensional object by laminating material layers formed by a material; and a control portion that controls the modeling portion, wherein the control portion is configured to execute a first modeling process that forms a plurality of convex portions that project in a lamination direction in which the material layers are laminated, which results in forming a plurality of concave portions that are recessed relative to the convex portions in the lamination direction, a second modeling process that laminates a first material layer on the convex portions, and forms a second material layer, which is spatially separated from the first material layer laminated on the convex portions, inside the concave portions; and a first modeling process that forms a plurality of convex portions that project in a lamination direction in which the material layers are laminated, which results in forming a plurality of concave portions that are recessed relative to the convex portions in the lamination direction, a second modeling process that laminates a first material layer on the convex portions, and forms a second material layer, which is spatially separated from the first material layer laminated on the convex portions, inside the concave portions; and a third modeling process that fills the concave portions with a third material layer by disposing the material on the second material layer inside the concave portions; wherein the first modeling process is a process that forms the convex portions so that the convex portions and the concave portions are alternately arranged in a first direction, which is perpendicular to the lamination direction, and a second direction, which is perpendicular to the lamination direction and the first direction; wherein the material is a paste form fluid composition, characterized in that: the first modeling process is a process that forms the convex portions by laminating two or more of the material layers, and wherein the material is a paste form fluid composition, characterized in that: the first modeling process is a process that forms the convex portions by laminating two or more of the material layers, and the second modeling process is a process that respectively laminates one or more material layers on the convex portions and inside the concave portions such that a clearance of a thickness equivalent to two layers of the material layers is maintained between the first material layer of the convex portions and the second material layer inside the concave portions.