A portable frozen drink machine that utilizes ice shaving technology for producing ice particles for a frozen drink. An ice hopper utilizing the ice shaving technology is connected by a common shaft to a mixer. The mixer is positioned below the ice hopper and extends into a beverage container. Ingredients for the frozen drink are put in the beverage container, and the ice particles fall downward from the ice hopper into the beverage container. The mixer stirs the ingredients, forming a well-mixed frozen drink.