The move is the latest in a series of measures aimed at increasing the rights of women in the kingdom.
"Another step to empowerment," the foreign ministry wrote on Twitter, adding that women would be able to serve as private first class, corporal or sergeant.
Saudi Arabia allows women to travel without male 'guardian' approval
Last year, Saudi Arabia authorised women to join its security forces.
Crown Prince Mohammed bin Salman has approved a handful of reforms aimed at widening women's rights, including allowing them to drive and to travel abroad without consent from a male "guardian".
But he has at the same time overseen the arrest of several prominent women's rights campaigners, including activist Loujain al-Hathloul.
Saudi Arabia, the world's largest crude exporter, is pushing to improve its image and attract tourists as part of a plan to diversify its economy away from oil.
COMMENTS
Comments are moderated and generally will be posted if they are on-topic and not abusive.
For more information, please see our Comments FAQ