A security official said one bombing targeted an abandoned church in Benghazi which had been previously damaged by fire.
The explosion damaged only a car parked outside and no casualties were reported.
The official said two other explosions targeted parked security vehicles elsewhere in the city.
A soldier was lightly wounded from flying debris.
Tripoli's security spokesman, Essam el-Naas, said two suspects have been arrested for an explosion near the Saudi, Greek and Palestinian embassies. A second went off near a security building.
COMMENT RULES: Comments that are judged to be defamatory, abusive or in bad taste are not acceptable and contributors who consistently fall below certain criteria will be permanently blacklisted. The moderator will not enter into debate with individual contributors and the moderator’s decision is final. It is Belfast Telegraph policy to close comments on court cases, tribunals and active legal investigations. We may also close comments on articles which are being targeted for abuse. Problems with commenting? email@example.com