Lance Corporal Nicholas Horne was charged with one count of rape on 23 October, the Defence Serious Crime Command (DSCC) said.
He serves in the 4th Battalion of the Royal Regiment of Scotland, also known as The Highlanders.
Lance Corporal Horne was arrested on 19 October, two days after the DSCC was informed of the alleged rape, the police organisation added.
He was remanded in custody pending a court-martial hearing.
The charge comes after an investigation by the DSCC and service police partners.
The DSCC said anyone affected by sexual offences in the armed forces is encouraged to contact them.
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Lance Corporal is the second-lowest soldier rank in the British Army.
