Absolutely, but we recommend a new box spring specifically made for memory foam to ensure support and long life. Your mattress will live a good life if it is resting on a firm, flat, solid surface. A slatted base can be used but shouldn’t have spacing more than 3” apart. Avoid those mattress killer frames that have a lot of open surface area where the mattress will sag. The more the surface area is flat and solid the better for the life of your mattress.