The track and field meeting is the latest top sporting event to be disrupted in the country since the US and Israel launched air attacks on Iran, and the Islamic Republic responded by firing missiles at neighbouring states.
"In the interests of athlete and spectator safety, a decision has now been taken to postpone the meeting. Should conditions allow, it will now be held on June 19," the event's organisers said in a statement.
"As temperatures are expected to be higher in Doha in June, the meeting will also be moved from the Qatar Sports Club to the Khalifa International Stadium. The stadium... is temperature-regulated."
The Qatar MotoGP race and the opening leg of the sports car World Endurance Championship have been postponed, and the "Finalissima" soccer match between Spain and Argentina scheduled for Doha was cancelled.