The alpha-phase of silver iodide, which is thermodynamically stable only above 147 degrees C, was stabilized at room temperature in the AgI-Ag2O-B2O3 glasses by twin roller rapid quenching of melts. In the alpha-AgI-stabiIized composites, spherical particles of alpha-AgI (about 30 nm in diameter) were observed to be homogeneously dispersed in a glass matrix. The annealing of the composites up to the temperatures higher than the glass transition temperature of the matrix glass brought about the relaxation of the lattice strain of alpha-AgI originally generated by the presence of rigid glass matrix and accelerated the alpha- to beta- phase transformation. Much larger lattice strain was observed at low temperatures below -10 degrees C, at which the activation energy for conduction was steeply changed and the heat capacity was maximized. Such anomalies at around -10 degrees C was associated with the ordering of Ag+ ions in the stabilized alpha-AgI.