Fred Enanga, police spokesperson told reporters that three suicide bombers detonated themselves at a checkpoint at the Central Police Station and on the parliamentary avenue.
Enanga said the injured were rushed to Mulago National Referral Hospital while counter-terrorism response teams managed to pursue a fourth suicide bomb attacker.
"They shot and injured him, and immediately after, recovered an unexploded improvised explosive device, at Nansana-Katooke, at his home, which the bomb squad were going to neutralize. We are now pursuing other members of the terror groups," Enanga said.
He said today's attacks show that there is still need to pre-empt, penetrate and prevent deadly attacks by domestic extremists in the days to come.
"For now, the bomb threats are still active, and cannot be solved in one go, which calls for the popular intelligence and vigilance of the community," he said.
Enanga said the blasts bear the hallmarks of the Allied Democratic Forces (ADF), an affiliate of the Islamic State in central Africa.
"It clearly shows that the ADF linked radicalized groups, still have a desire to carry out lethal attacks, on soft targets, with suicide attackers and improvised explosive devices (IED)," Enanga said.
"These kinds of threats remain significant because IEDs and suicide bomb jackets can easily be built from common houseold items found in local markets, retail shops, and supermarkets," the police spokesperson added.
The latest attacks came about three weeks after two separate blasts, blamed on the ADF, killed two people and injured several others in central Uganda.