Current Publishing was founded by Andrew Selkirk, a Fellow of the Society of Antiquaries and former Vice-President of the Royal Archaeological Institute, who launched the first magazine, Current Archaeology, in 1967.

For its first 40 years, the publication was bi-monthly, becoming a monthly in 2007 up until the present day.

It is edited by Neil Faulkner, and covers all aspects of military history, from battles of the ancient world, up to more recent conflicts in Iraq and Afghanistan.

Minerva, a magazine devoted to the art and archaeology of the ancient world, joined Current Publishing in 2020.

In addition to the physical publications, Current Publishing has several websites intended to complement the magazines with further information and discussion forums.