The manuscript presents a Model Predictive type Current Control (MPCC) of single-phase 13-level Transistor-Clamped H-Bridge (TCHB) based cascaded Multi Level Inverter (MLI) for improving power quality. The objective of the MPCC is to regulate the inverter output current by using 15 switches and 14 voltage vectors. The working condition of the MPCC strategy is investigated using steady state condition, transient state condition, variation of input frequency and variation of sampling time through simulations with RL load. The results show that the MPCC schemes perform well for all operating conditions and the inverter delivers a good quality of load voltage and load current with less harmonic components value. The inverter model and MPCC algorithm is implemented by using MATLAB software. © Springer Nature Singapore Pte Ltd. 2018.