The African School of Fundamental Physics and its Applications has been established to build capacity to harvest, interpret and exploit the results of current and future physics experiments and to increase proficiency in related applications, such as theoretical physics, particle physics, nuclear physics, medical physics, Monte Carlo generators & simulations, accelerators & technology and Grid computing. The school is organized in three weeks every two years in an African country and it is based on a close interplay between theoretical, experimental, and applied physics. The participating students are selected from all over Africa. The school also offers a workshop to train high school teachers, an outreach to motivate high school pupils and a physics conference to support a broader participation of African research faculties. The duration of the school allows for networking - interactions among the participants. Support for the school comes from institutes in Africa, Europe, USA and Asia. The first school took place in Stellenbosch, South Africa on August 1-21 2010 , the second edition in Kumasi, Ghana on July 15-August 8 2012, the third edition in Dakar Senegal on August 3-23 2014, the fourth biennial school at the University of Rwanda on August 1-19 2016, and the fifth edition in Namibia on June 24-July 14 2018. The next edition of the school will take place on July 5-25, 2020 in Marrakesh, Morocco. In this talk, I will present the school and discuss plan for future editions to make the school sustainable.