A team of Royal Logistic Corps personnel are helping deliver personal protective equipment (PPE) to NHS trusts across the UK.
The soldiers have been working at the NHS' supply chain hub in Daventry, Northamptonshire, alongside a civilian workforce.
Major Ed Dutton, 24 Commando Royal Engineers, said the military's role at the hub has provided the health service with "additional capacity" during the coronavirus pandemic.
"With the COVID situation that we've got, there's a lot more kit required out there," he said.
"This [mission] is bringing that additional capacity to support the existing mechanisms and existing supply chains the NHS already has in place."
Alongside the physical delivery of PPE, British Army reservists have also been using skills from their day jobs to develop an e-portal to help healthcare workers find and order free PPE.
The Army has helped design the system alongside eBay in what has been described as a "Herculean effort" by the company's UK Vice President.
The Chief of the Defence Staff singled out Major Eb Mukhtar for his work in the portal's design, saying he had "really stepped up to the plate".
Major Mukhtar, who works for Google and is a reservist for 16 Air Assault Brigade, said “up to 45,000 different healthcare providers" are now able to use the portal and PPE.
The system means customers should receive their PPE equipment within two days of ordering it.
Twenty-thousand members of the Armed Forces remain on standby in response to the coronavirus crisis.