Rick Parry, chair of the English Football League (EFL), said it was an “important milestone”.
On 18 April, the FA Cup semi-final between Leicester City and Southampton will have 4,000 fans while the final on 15 May will welcome 21,000 spectators.
Those games may also trial a Covid passport scheme, where passes would show if a person had been vaccinated, had a recent negative test, or natural immunity.
The matches are three of nine events across sports and the arts – which also includes the snooker World Championship – which will be used to provide “key scientific data and research” into how events can safely re-open to fans in line with the roadmap out of lockdown.
Researchers at the events will “gather evidence associated with different settings and approaches to managing and mitigating transmission risk”.
Culture secretary Oliver Dowden said: “Our sports stars and great performers need us to find ways to get bums back on seats safely.
“This science-led pilot programme will be the springboard in getting the buzz back of live performance. We’ve supported the sports and arts with unprecedented sums, but it’s now time to make that Great British Summer of live events a reality.”
It had already been confirmed that the FA Cup final and semi-final would be test events but Sunday’s announcement confirmed the number of fans to be permitted and the potential use of Covid passports.
The Carabao Cup final was rescheduled from February with the objective of having “as many supporters in attendance as possible”.