Bone scaffolds for regenerative medicine applications should have the ability to promote adhesion, proliferation and differentiation of osteoblast cells. Osteoconductive, osteoinductive and osteopromotive properties of the material are essential for rapid bone regeneration and new bone formation. In this study, the osteogenic potential of two novel tri-component scaffolds composed of krill chitosan, bacterial β-1,3-glucan and bioceramics (HAp or a mix of HAp/β-TCP granules) was investigated. The typical markers of the first (type I collagen), second (bone alkaline phosphatase) and third stages (osteocalcin) of the osteoblast differentiation process were evaluated during in vitro experimentation. The study was carried out using three various osteoblastic cell lines (normal human fetal osteoblast cells hFOB 1.19, human osteoblast-like cells derived from osteosarcoma Saos-2 and mouse calvarial preosteoblast cells MC3T3-E1 Subclone 4). The bone alkaline phosphatase (bALP) and osteocalcin (OC) were determined quantitatively using enzyme-linked immunosorbent assays, and type I collagen (Col I) was evaluated qualitatively using the direct immunofluorescence (DIF) method. The data obtained clearly prove that novel scaffolds have the ability to increase bALP activity, to enhance extracellular matrix synthesis (Col I and OC) and to induce mineralized nodule formation during osteogenic differentiation. In conclusion, novel tri-component materials have osteoconductive and osteopromotive properties, and thus are promising materials in bone tissue engineering applications to accelerate the bone regeneration process.