Twin explosions were heard on Tuesday morning in the Ugandan capital Kampala, local media reported.
Local newspaper, Daily Monitor, said that two explosions were reported respectively near the parliamentary building and opposite the central police station in Kampala.
Local television stations telecast live pictures of cars burning and ambulances rushing to the scene of the blasts.
Deputy Speaker of Ugandan Parliament, Anita Among, tweeted that the originally planned parliamentary sitting has been called off.
The deputy speaker advised legislators not to come to parliament.
Last month, Kampala was hit by two separate bomb explosions that left two people dead and several injured.
The Police blamed the attacks on the Allied Democratic Forces, an affiliate of the Islamic State in Central Africa.