《概率論年鑒》發表現代概率論的研究論文，以及它與數學其他領域的關系，以及它在物理和生物科學中的應用。強調的是重要性、趣味性和原創性——正式的新穎性和正確性不足以發表。該年鑒還將發表權威的評論文章和對蓬勃發展地區的調查。

The Annals of Probability publishes research papers in modern probability theory, its relations to other areas of mathematics, and its applications in the physical and biological sciences. Emphasis is on importance, interest, and originality – formal novelty and correctness are not sufficient for publication. The Annals will also publish authoritative review papers and surveys of areas in vigorous development.