Apartments For Rent In Downtown Delray Beach . With 55 apartments for rent in the downtown delray beach neighborhood of delray beach, forrent.com can guide you throughout your apartment search. The price is $224 per night from may 5 to may 6. Delray Bay Rentals Delray Beach, FL from www.apartments.com Find apartments for rent in downtown delray beach, delray beach, fl by bedroom, cheap to luxury, pet friendly, with utilities included and more. 1875 s.ocean blvd, delray beach, fl, 33483. Showing 25 of 97 results, page 3 of 4.