An all-solid dual-concentric-core microstructure fiber for dispersion compensation is proposed. In order to form dual-concentric-core structure, a high refractive index silica cylinder doped with Ge and two low refractive index silica cylinders doped with fluorine or boron are introduced in pure silica to adjust refractive index distribution of cross-section. The evolution and coupling characteristics of fiber mode are theoretical analyzed. The relationships among mode coupling position, intensity and fiber structure parameters are studied by multi-pole method, and the relationship between dispersion characteristic and fiber structure parameter is studied. Two kinds of optical fiber are designed when we optimize fiber structure parameters. Fiber 1 with dispersion value of -8465 ps/(nm·km) at 1550 nm and its splicing loss with SMF-28 fiber is only 1.89 dB, and a dispersion value of SMF-28 single mode fiber with 500-fold length of fiber 1 can be compensated. The splicing loss is only 1.41 dB at 1550 nm, and a dispersion value of SMF-28 single mode fiber with 15.5-fold length of fiber 2 in the C band can be compensated. The maximum residual dispersion absolute value is only 1.38 ps/nm. Compared with silica-air microstructure fibers, the all-solid dispersion compensating microstructure fiber proposed is easier to fabricate and splice to the traditional communication fiber.