The number of reported AIDS cases around the globe has nearly doubled in the past year, the World Health Organization said Friday.

In addition to the nearly 100 percent increase in the number of cases, WHO reported the number of nations reporting AIDS victims increased from 113 in June 1987 to 138 this year.

The agency said 96,433 cases of acquired immune deficiency syndrome were reported as of June 1, compared with the 51,535 cases a year ago. Nearly two-thirds, or 61,580 of the reported cases, were in the United States, the agency said. It said American public health officials predict there will be at least 270,000 cases in the United States by 1991.