The purpose of this study is to assess the safety, tolerability and efficacy of KP-413 topical ointment compared with vehicle ointment in treating adult subjects with atopic dermatitis (AD).

Inclusion Criteria:

• Has a clear diagnosis of AD meeting the Hanifin and Rajka criteria for AD that involves both the head/neck and the torso/limbs, and affects 5-30% of the subject's total BSA as determined using the rule of nines
• Has a Baseline IGSS of 3(moderate) or 4(severe) in the selected treatment area on the torso/limbs, and a Baseline IGSS of 2(mild), 3(moderate) or 4(severe) in the selected treatment area on the head/neck.
• Female of childbearing potential has a negative pregnancy test and will be using an effective method of contraception during the study.

Exclusion Criteria:

• Female who is pregnant, nursing an infant, or planning a pregnancy during the study period.
• Has a Baseline oozing/crusting score of 3(moderate) or greater at the selected treatment area on the head/neck or torso/limbs.
• Presence of a concurrent skin condition that could interfere with assessment of treatment.
• Treatment with any investigational drug or device within 30 days or 5 half lives(whichever is longer) prior to the Baseline visit, or concurrent participation in another clinical trial with an investigational drug or device.