Islanders had been warned to expect high winds and heavy rain but according to local media, there have been no reports of significant damage or disruption.
Beryl, the first Atlantic storm of the season, was downgraded from a tropical storm shortly before it arrived in Dominica.
The remnants of the storm though caused power outages in Puerto Rico and US Virgin Islands.
Dominica is still recovering from the ravages of Hurricane Maria last September, a category five storm that caused widespread devastation and claimed more than 60 lives.