This chapter delves into the innovative field of magnetic Josephson junction (MJJ)-based superconducting memory, highlighting its potential to revolutionize data storage in cryogenic and quantum computing systems. Magnetic Josephson junctions combine the phase-coherent properties of superconductors with the magnetic control offered by ferromagnetic layers, enabling the creation of memory elements that are both fast and energy-efficient. The chapter discusses the fundamental principles behind MJJs, focusing on their unique ability to store binary information through the manipulation of the magnetic state within the junction, which directly affects the superconducting phase difference and critical current. The use of MJJs in superconducting memory offers several advantages, including low power consumption, high switching speed, and compatibility with existing superconducting circuits such as quantum bits (qubits) and superconducting logic gates. The chapter explores the read/write mechanisms in MJJ-based memory cells, where the magnetic state is controlled by current pulses, and the stored information is read out via the critical current response. We also discuss the integration of MJJ-based memory with other superconducting technologies and its implications for scaling up quantum computing systems. Finally, the chapter provides insights into the ongoing research challenges and future prospects for MJJ-based superconducting memory, emphasizing its potential to provide robust and scalable memory solutions for next-generation quantum and cryogenic applications.