The photo has been used for illustrative purposes.
India will host the 2021 edition as planned, the global governing body said, while the 50-over Women's World Cup, scheduled for next year in New Zealand, has been postponed until 2022.
The ICC last month announced that the 2020 edition of the T20 World Cup could not take place as planned in Australia from October this year.
ICC chief executive Manu Sawhney said in a statement on Friday: "We now have absolute clarity on the future of ICC events, enabling all of our members to focus on the rescheduling of lost international and domestic cricket.
"We will now proceed as planned with the men's T20 World Cup 2021 in India and host the 2022 edition in Australia."
ICC acting chairman Imran Khwaja said health and safety had been the top priority.
"The decisions the board have taken today are in the best interests of the sport, our partners and importantly our fans," he added.
COVID-19 has played havoc with the global sporting calendar but international cricket has resumed behind closed doors in England, with the host nation currently taking on Pakistan in a three-match Test series.
The format of the 2021 T20 World Cup will remain as it was for 2020 and all teams that qualified for that event will now participate in India in 2021.
A new qualification process will be run for the 2022 edition.
The format of the postponed Women's World Cup will remain as it was for 2021. Five teams have already qualified for the event and that will stand for 2022.
The original global qualification event to determine the final three teams will now be held in 2021.
Australian captain Meg Lanning says her team are "pumped" for their defence of the women's Twenty20 World Cup against India on Sunday with hopes high that more than 90,000 fans will cram the cavernous Melbourne Cricket Ground.
The International Cricket Council had earlier announced that India will remain the hosts of the 2021 tournament while the postponed 2020 tournament which was to be held in Australia will now take place in 2023. Identifying backup venues is standard practice for any tournament.
Proteas captain Dane van Niekerk won the toss and opted to bat on a slow track at Sydney Showgrounds, with her team making a competitive 136 for six, boosted by Wolvaardt's late fireworks. In reply Pakistan could only manage 119 for five.
Ruturaj Gaikwad smashed his second consecutive fifty and Ravindra Jadeja hit an 11-ball 31 as Chennai Super Kings (CSK) dented Kolkata Knight Riders’ (KKR) hopes of play-offs’ qualification with a six-wicket victory in Dubai on Thursday.
Kings XI Punjab (KXIP) will look to add to their winning momentum and boost their chances of making it to the play-offs when they take on Rajasthan Royals (RR) in a crucial IPL clash on Friday.
To win the targeted trophy, a team must feature in the top four of the IPL 2020 points table.
Surya Kumar Yadav hit a scintillating fifty after Jasprit Bumrah took three wickets as a ruthless Mumbai Indians defeated Royal Challengers Bangalore (RCB) by five wickets in their Indian Premier League (IPL) match on Wednesday.