This would allow attendances of 12,000 “based on UEFA Euro 2020 venue overlay and seating configuration”, according to a Scottish FA statement.
Steve Clarke’s team is due to face the Czech Republic and Croatia at the national stadium in the group stages with two knock-out round matches also fixed for Hampden.
The Scottish FA and Glasgow Life have been working on a range of scenarios for hosting the four matches amid the ongoing coronavirus pandemic with a focus on allowing some supporters into the arena and creating a fan zone in Glasgow city centre.
Following consultation with the Scottish Government and public health experts, details were submitted to UEFA detailing the “preferred option for admitting spectators”.
A spokesperson for the Scottish FA said: “We are delighted that the Scottish Government has given approval to allow spectators up to 25 per cent of the stadium capacity for each of the four games to be staged at Hampden Park.
"Naturally, this will be subject to continued progress with reducing the prevalence of the virus and the roll-out of the vaccination programme.
"A decision on the Fan Zone in the city will be made at the end of April.”
UEFA is expected to contact all ticket holders by the end of this week advising them on the latest tournament arrangements including ticketing and travel information.