Dynamically controlled photonic bandgap (PBG) is achieved via the electromagnetically induced transparency (EIT) in the one dimensional optical lattices filled with cold atoms driven to the four-level Lambda configuration with spontaneously generated coherence (SGC). When the coupling field is far away from resonance or resonant, two or three well-developed photonic bandgaps can be induced based on spontaneously generated coherence from the two decay pathways. While in the absence of SGC, the probe field is absorbed by the medium, so the PBG around the probe resonance is severely malformed or even cannot be generated. Numerical calculations show that the induced PBG results from the Kerr nonlinear modulation between the probe and coupling field, and by controlling the detunings of coupling field, the two PBGs can be dynamically tuned into three PBGs in this system.