Violence has been on the rise across Iraq since a deadly crackdown by government forces on a Sunni protest camp in April, raising fears that the country could see a new round of widespread sectarian bloodshed similar to that which brought the country to the edge of civil war in 2006 and 2007.
The first attack took place when a roadside bomb blast hit a military convoy near Musayyib, a town 60 kilometers (40 miles) south of Baghdad, killing three soldiers and wounding 10, officials said.
Two medical officials confirmed the casualty figures. All officials spoke on condition of anonymity as they were not authorised to talk to journalists.
Today's attack came a day after deadly bombings across Iraq that targeted cafes, markets and restaurants, leaving 69 dead. Insurgents frequently target the security forces, as well as Shiite civilians and others in an attempt to undermine the Shiite-led government.