A ferroelectric memory unit cell includes a series connection of select gate transistor that turns the ferroelectric memory unit cell on and off, and a ferroelectric memory transistor. Data is stored in a ferroelectric material layer of the ferroelectric memory transistor. The ferroelectric memory unit cell may be a planar structure in which both transistors are planar transistors with horizontal current directions. In this case, the gate electrode of the access transistor can be formed as a buried conductive line. Alternatively, the ferroelectric memory unit cell may include a vertical stack of vertical semiconductor channels.