The strikes are the latest in a months-long surge of violence that is raising fears Iraq is slipping back toward the widespread sectarian killings that followed the 2003 US-led invasion a decade ago.
The attack on the funeral happened around dusk in the densely populated Shiite neighbourhood of Sadr City in northeastern Baghdad.
The explosions set several nearby cars on fire, sending a towering plume of thick black smoke over the city.
The attack happened hours after insurgents launched a suicide attack on a police headquarters in the city of Beiji, killing seven policemen and wounding 21 others.
In that attack, police said four suicide bombers stormed a base for police commandos. Guards managed to kill one suicide bomber, but the three other bombers were able to set off their explosive belts inside the compound, police said. Beiji, a center for oil refining, is 250 kilometres north of Baghdad.
In other violence, gunmen shot and killed two prison guards after storming their houses in a village near the city of Mosul today. Also in Mosul, two soldiers were killed and four others were wounded when a roadside bomb struck their convoy.
Mosul, 360 kilometers northwest of Baghdad, is a former militant stronghold.
There was no immediate claim of responsibility for the day's attacks. Al-Qaida's local franchise in Iraq frequently targets Shiite civilians and security forces in an attempt to undermine public confidence in the Shiite-led government in Baghdad.
