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GPS measurements of coseismic displacements from the 1999, Chi‐Chi, Taiwan earthquake are modeled using elastic dislocation theory. We find that a single fault plane cannot fit the data, but rather a curved fault surface consisting of multiple segments dipping 20–25° best fits the observations. The model fault exhibits reverse and left‐lateral slip on a 75 km long N‐S trending segment and reverse and right‐lateral slip on a 25 km E‐W trending segment at the northern end of the rupture. The 21° dipping E‐W segment is inconsistent with previous interpretations of high angle tear faulting.