The figure is 0.2 percent higher than the rate of 9.8 recorded for the month of May.
The consumer price index measures the average change in goods and services over a period of time.
Releasing the figures to the press in Accra, the acting Government Statistician, Mr. Baah Wadie, said the high rise was attributed to rising cost of foods and beverages.
Other factors included the hikes in transport and fuel, which have a general impact on the economy and goods and services.
The June figure shows that the country's inflation has risen by an average of 0.4 percent since March 2018, where Ghana recorded an inflation rate of 9.6 percent, one of the lowest recorded since November 2012.