The quake hit the southwest of the island chain's Kira Kira island in the South Pacific says the U.S. Geological Survey.
The epicentre was about 210 kilometers southeast of the capital, Honiara.
The Pacific Tsunami Warning Centre is not expecting a destructive wave and there have been no immediate reports of damages or injuries.
The Solomon Islands is a country west of Papua New Guinea that is comprised of 1,000 islands and situated on the Ring of Fire.
This is an arc or earthquake and volcanic zones that stretch around the Pacific Rim. 90 percent of the world's earthquakes occur in this region.
For more details on what you can expect, make sure you tune into The Weather Network on TV. Your National forecast comes up at the top and bottom of every hour.