Wheat landraces possess a wide diversity in starch physical properties that could be useful in breeding for improved quality of specific products, such as various types of Asian noodles. The pasting properties (using a Rapid Visco-Analyser [RVA]) and flour swelling volume (FSV, using silver nitrate to inactivate α-amylase activity) of wholemeal, were measured for 242 hexaploid accessions of Iranian landrace wheat. FSV values and the peak viscosities were positively correlated (r = 0.73***). FSV values in the landraces ranged from 8.3 to 15.9 mL/g and peak viscosities ranged from 139 to 305 RVA units (RVU). In comparison, FSV of cvs. Eradu and Klasic were 18.6 and 15.0 mL/g, and peak viscosities were 355 and 303 RVU, respectively. Of the landraces, Iranian Wheat Accession (IWA) 8602488 had the highest peak viscosity (305 RVU) and exceptionally high hot- and cool-paste viscosities. Two accessions, IWA 8602430 and 8600544, displayed pasting characteristics considered desirable for high-quality Japanese white-salted noodles. Four landraces were identified that had starch with unusually high resistance to shear-thinning. Texture profile analysis was done on the wholemeal gels formed in the RVA canister. The variation in parameters such as hardness, chewiness, and adhesiveness in the landraces greatly exceeded that in the cultivars. The hot-paste viscosity, breakdown, setback, and final viscosity values, but not the peak viscosity or FSV, were highly significantly correlated with the hardness, chewiness, and adhesiveness of the gel. The Iranian landraces appear to present useful genetic variation for developing wheats for special uses.