Local sources said the blasts came from the direction of the sea, as reported by the Iranian news agency IRNA.
Qeshm, Iran's largest island in the Persian Gulf, serves as a strategic hub for shipping lanes and a free trade zone, making any disturbance a potential flashpoint for regional security.
Iranian authorities have begun an investigation, deploying naval vessels to the vicinity, though no casualties or damage have been reported so far.
The incident follows a series of heightened tensions in the Gulf, where sporadic military drills and maritime incidents have drawn international attention.
Ship operators in the Gulf have expressed concern, urging the government to ensure safety in the busy shipping corridor that passes near Qeshm.