Chirality is a property of asymmetry between an object and its mirror image. Most biomolecules and many cell types are chiral. In the left-right organizer (LRO), cilia-driven flows transfer such chirality to the body scale. However, the existence of cellular chirality within tissues remains unknown. Here, we investigate this question in Kupffer’s vesicle (KV), the zebrafish LRO. Quantitative live imaging reveals that cilia populating the KV display asymmetric orientation between the right and left sides, resulting in a chiral structure, which is different from the chiral cilia rotation. This KV chirality establishment is dynamic and depends on planar cell polarity. While its impact on left-right (LR) symmetry breaking remains unclear, we show that this asymmetry does not depend on the LR signaling pathway or flow. This work identifies a different type of tissue asymmetry and sheds light on chirality genesis in developing tissues.