The bloodshed in the capital comes amid an ongoing surge in attacks across Afghanistan, where some 1,500 people were killed or injured last month alone.
Witnesses and an AFP reporter also described hearing gunshots immediately after the blast at the electronic identification registration centre in Jalalabad, capital of Nangarhar province, where both the Taliban and the Daesh group are active.
The officials said two explosions hit a commercial center in central Baghdad. Iraqi state television reported it was a suicide bombing. Many among the wounded were in serious condition and there was property damage.
The UAE Ministry of Foreign Affairs and International Cooperation stressed that the UAE expressed its strong condemnation of these criminal acts and its permanent rejection of all forms of violence and terrorism aimed at destabilising security and stability in contravention of religious and humanitarian values and principles.
At least 13 people were killed and dozens more injured in the attack that targeted a district administrative building in Shinwar, where many civilians were present.
An Afghan official says at least nine people including four civilians were killed when a suicide car bomber attacked a military checkpoint in southern Afghanistan.
A suicide bomber drove a vehicle loaded with explosives into a base for Afghan defence forces in the country's east on Saturday, killing at least 15 security personnel in an attack claimed by the Taliban, according to AFP.
The toll was likely to rise as scores of people were rushed to hospitals, government spokesman told the media. Earlier, the director of the Aamin Ambulance service, confirmed the 76 dead and said more than 50 others were wounded.
Shortly after the bomber detonated the car laden with explosives, a group of insurgents stormed into the compound, setting of a shootout with Afghan forces.