Publix Super Market at Ocean Breeze Plaza Jensen Beach FL Supermarket Jensen Beach on the beautiful beach offers a wide variety of products to fulfill all your shopping needs. This store carries everything you want from fresh produce to delicious deli fare. Whether you're looking for wholesome alternatives or luxurious goodies, the store in Jensen Beach offers it all. With friendly staff and convenient place, this supermarket is a top-notch place for your grocery outing.