The emir travelled to the United States on Monday where he and Trump were supposed to meet in Washington to discuss security cooperation and counterterrorism.
According to the KUNA news outlet, the 90-year-old emir has been placed in a US hospital to undergo medical exams.
According to the statement, a new date for the meeting will be set at a later time.
The emir's visit to the United States comes at a time when Washington is trying to form an anti-Iran coalition to patrol the Persian Gulf.