The present invention is a new and distinct primocane and floricane fruiting red raspberry cultivar named ‘Addison’, which is capable of producing high yields of medium large, dark red, flavorful and firm fruit that are easy to harvest. The cultivar is also characterized by several morphological characteristics, including, a strong tendency toward red coloration of vegetative plant parts, bracts on peduncles, a long necked receptacle, and a slight imperfection of the fruit which can produce flattened surfaces.
