In this paper, we presented parallel sorted-set intersec- tion algorithms that are based on STTNI of Intel SSE 4.2. Three of the algorithms use sorted sets consisting of un- compressed integer values as input and output; they differ only in the precision (8-bit, 16-bit, and 32-bit) of the inte- gers they process. Since the 32-bit variant requires pre- and post-processing of the integer values, we provide a hierarchi- cal data layout that avoids such overhead during the inter- section process. Our experiments indicate high speedups up to 5.3x of our parallel sorted-set intersection algorithms over highly efficient scalar counterparts. We believe that many algorithms in query processing, frequent-itemset mining, or information retrieval—in which set intersection accounts for a large part of the overall execution time—could benefit from our proposed approach. In future work, we want to investi- gate the combination with adaptive intersection algorithms and parallel compression techniques [21].