In this paper we prove that every finite-dimensional almost-Jordan right-nilalgebra is nilpotent. This result extends our previous result on nilpotency of these algebras for dimension ≤ 5 and nilindex ≤ 4. Since every Jordan algebra is an almost Jordan algebra, our result extends also the Albert's Theorem on nilpotency of finite-dimensional Jordan nilalgebras. The result requires characteristic ≠ 2, 3. © 2011 Nova Science Publishers, Inc. All rights reserved.