A Bronsted-Lowry acid is a H+ donor and the H+ is received by a Bronsted-Lowry base. An Arrhenius acid is a species that can release H+ ions in water.
However, water can act as both a Bronsted-Lowry acid and base. Hence, Bronsted-Lowry acids can react with water (base) and is thus an Arrhenius acid.
The Bronsted-Lowry definition is more encompassing than the Arrhenius model.