The 16 are being investigated, the Army said.
In July there were five cases confirmed as suicide, the Army said in a release, as well as 17 potential cases that are still under investigation.
The Army said during August, among reserve component soldiers who were not on active duty, there were nine potential suicides; none has been confirmed, and all nine remain under investigation.
In July, the service said, there were 10 potential suicides among not-on-active-duty soldiers, but since the release of the July report one case has been added for a total of 11. Three of those cases have been confirmed and eight remain under suspicion.
Lt. Gen. Thomas P. Bostick, Army deputy chief of staff, G-1, said in a statement, "Suicide prevention training and awareness are vital components of the Army's health promotion and risk reduction efforts against the tragic occurrence of suicide within our rank. It is a priority that deserves our full attention and continued emphasis by all leaders. Junior leaders and first-line supervisors can be especially effective in assisting those in a moment of crisis.
"We collaborate extensively with other federal and national programs to assure we remain abreast of the very latest research and best practices. To date, our focused efforts have resulted in thousands of trained individuals throughout the Army who now have the skills to recognize the signs of suicide, exercise appropriate intervention techniques, and engage the numerous organizations within the Army and (Defense Department) that stand ready to help at any hour of the day or night."