Ghanaians are being urged not to be distracted from happenings in other countries, but to focus on enhancing peace building within Ghana.
"I know your [Ghana] intelligence and security forces are on the job. But you have to be aware of the threats of violence that comes from within Ghana.
"There's tribal tension; there's some tensions from Muslims and Christians in Ghana; there are land disputes; there are water disputes," he told Accra-based Citi FM.
RELATED: Terrorist attack against Ghana imminent - National Security
John Graham's comments come on the back of attacks in Burkina Faso and Ivory Coast, which killed several people and destroyed properties.
Security experts have said that public places including hotels, restaurants, malls and other public places that attract a lot of foreigners are prone to attacks.
Meanwhile, President Mahama John Mahama on Tuesday called on African countries to be vigilant in order to ward off any imminent terrorists attacks in the region.
RELATED: Ghanaians need to pay attention to terror attacks - Mahama
"We live in dangerous times and we therefore need to be more vigilant by sharing useful information that will help us resist any security threats in our countries," he said.