A hybrid modular multilevel converter having fault blocking capability, and a control method thereof are disclosed. The hybrid modular multilevel converter has an ABC three-phase structure, each phase includes an identical upper arm and lower arm, and the upper arm and the lower arm are each composed of N submodules, including M unipolar full bridge submodules and N-M half bridge submodules, which are connected in series; two identical arm inductors are connected in series between a lower end of the upper arm and an upper end of the lower arm in a same phase; and upper arms and lower arms of three phases are connected in a staggered manner through six thyristor branches, the upper ends of the upper arms of the three phases are short-circuited and are connected to a DC side via a first isolating switch.