The global governing body said it would continue to focus on delivering the remainder of the 2021 series, with a working group formed to review contingency plans and evaluate preparations for the sport’s safe return.
The Dubai and Cape Town rounds had been scheduled for Nov 26-28 and Dec 4-6 this year.
“After a comprehensive consultation process and constructive dialogue with the host organisations, it has been decided that the combined men’s and women’s Dubai and Cape Town rounds… will not take place due to the ongoing and dynamic global nature of the Covid-19 pandemic,” the organisers said in a statement.
“The decisions were taken in line with relevant government and international public health authority advice and with the health and well-being of the rugby community and the wider public taking precedence.
“Both hosts are due to return to a full series schedule beyond this season.”
New Zealand were awarded the men’s and women’s World Sevens Series titles after World Rugby cancelled the rest of the 2020 season last month because of the coronavirus crisis.
Tournaments in London, Paris, Singapore and Hong Kong were cancelled on the men’s tour, while the women’s circuit lost rounds in the United States, Paris and Hong Kong.