Moiré quasicrystals extend the twistronics paradigm beyond crystalline order, hosting electronic properties dictated by nonperiodic symmetry. Here, we investigate the fate of the kagome lattice's defining feature, its flat band, in a moiré quasicrystal formed by a ${30}^{\circ }$-twisted bilayer. Our tight-binding model reveals that the characteristic flat band of the kagome lattice undergoes a dramatic fragmentation into multiple gapped subbands, a direct consequence of interlayer coupling and the emergent 12-fold rotational symmetry. The primary gap is robust against variations in interlayer hopping strength, while the density of states (DOS) exhibits a fractal structure, with distinctive peaks and valleys originating from band hybridization and crossings. These predictions are validated by first-principles calculations for a morié quasicrystal formed by a realistic kagome covalent organic framework, ${\mathrm{C}}_{18}{\mathrm{H}}_{12}{\mathrm{B}}_6{\mathrm{O}}_6$. Our work establishes twisted kagome bilayers as a promising platform for exploring correlated physics in quasiperiodic flat bands.

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• Electronic structure
• Flat bands
• Twistronics
• Kagome lattice
• Quasicrystals
• Density functional calculations
• Tight-binding model