* Sadr wants overhaul of elections body ahead of vote
* Katyusha rockets fired on Green Zone from Sadr-held district
* Protests ill-timed for Abadi plan to focus on Mosul battle (Adds Katyusha rockets hitting Baghdad's Green Zone)
By Maher Chmaytelli and Saif Hameed
BAGHDAD, Feb 11 (Reuters) - An Iraqi policeman was killed and seven others wounded in clashes with protesters loyal to prominent Shi'ite cleric Moqtada al-Sadr who had gathered in Baghdad on Saturday to demand political reforms, the interior ministry said.
Thousands had gathered in the central Tahrir Square to demand an overhaul of a commission that supervises elections ahead of a provincial poll due in September.
Police tried to disperse them as they attempted to cross the bridge that links the square and the heavily fortified Green Zone, which houses government buildings, embassies and international organisations.
The interior ministry didn't confirm tolls given by pro-Sadr sources reporting up five killed among demonstrators and as much as 320 wounded. Iraqi Prime Minister Haider al-Abadi ordered an investigation into these claims.
Several Katyusha rockets hit the Green Zone on Saturday evening, but there were no casualties, a military spokesman said. The rockets seem to have been fired from Baladiyat, a district where Sadr has a lot of followers, he said in a statement.
The escalation of problems with Sadr comes at the wrong time for Abadi who wants to keep the focus on dislodging Islamic State from the northern city of Mosul.
Police fired tear gas to prevent protesters from getting too close to the Green Zone, witnesses said, choking about two dozen demonstrators, according to the organisers of the protest.
Bursts of gunfire were also heard but it was not clear where they came from.
Sadr followers held several demonstrations last year to press for anti-corruption reforms and stormed the Green Zone after violent clashes with security forces.
GUNS AND KNIVES
An interior ministry statement said guns and knives were found on some protesters.
Sadr issued a statement saying the demonstration was peaceful and accused the police of using excessive force.
He said his supporters wanted to get near the Green Zone to make their voices heard by decision makers, and had no intention of storming it again. Sadr asked the protesters to "withdraw until further notice".
Television footage showed young men, many holding Iraqi flags and covering their faces, running away as smoke filled Tahrir Square.
Sadr suspects that members of the electoral commission are loyal to his Shi'ite rival, former Prime Minister Nuri al-Maliki, one of the closest allies of Iran in Iraq.