Authorities suspect Boko Haram, an Islamic extremist group opposed to the Christian president, CNN reported. Jonathan took office a year ago when Muslim President Umaru Yar'Adua died of heart disease and won a full term in an election some northern Muslims denounced as rigged.
One blast Monday targeted a military patrol in Maiduguri, in northern Nigeria, military spokesman Mohammed Yerima said, but there were no casualties.
The other bombing Monday was in Zaria, also in northern Nigeria. On Sunday, an explosion struck a beer parlor there, wounding two people, emergency agency spokesman Yushau Shauib said.
Also Sunday, a explosion at a market in Bauchi, east of Zaria, killed at least 13 people and wounded 20, while in Zuba, outside the capital Abuja, a blast at another beer hall killed two and wounded 11.
Before state elections in late April, suspected Boko Haram bombings in the northeastern state of Borno targeted areas that had supported Jonathan.