A distributed predictive control based voltage restoration scheme for microgrids, comprising: step 10) adopting a distributed finite time observer to acquire the global reference voltage for restoring the voltage of each local controller; step 20) each local controller adopts a droop control to acquire the local voltage value of each generation, and adds a secondary voltage compensation term into the droop characteristic formula to form the voltage reference value of a distributed generation; step 30) establishing a trended prediction model; step 40) acquiring a predictive control term at a current time as the secondary voltage compensation command, and acting on the local controllers; and step 50) determining, whether the local voltage of each distributed generation of the microgrid reaches the voltage reference value under the secondary voltage compensation command.