The U.S. Geological Survey said that the quake hit 154 km southwest of Dadali and 170 km west of the capital Honiara at a depth of 20 km, reported Xinhua.
A spokesman for the National Disaster Management Office in the Solomons Islands said that no damage had been reported at the moment.
A 5.3-magnitude aftershock followed the temblor.
The Solomon Islands were hit by a tsunami, triggered by an 8.0-magnitude earthquake, in 2013. It left at least 10 people dead and thousands homeless after buildings were destroyed.(ANI)