This paper presents a study on the detection of gravitational wave (GW) memory by the Laser Interferometer Space Antenna (LISA). The research focuses on the imprint of GW memory on LISA's detector, particularly from the merger of massive black holes (MBHs) in the frequency range of 10⁻⁴ Hz to 10⁻¹ Hz. The study uses the most up-to-date LISA consortium simulations and numerical relativity to compute GW memory time-series. The results show that GW memory will be a key feature of several events detected by LISA, providing complementary information for better characterization of the GW source. The paper discusses the detection prospects of GW memory using the most recent population models of MBHs. It evaluates the odds and expected accuracies of GW memory observations in the LISA lifetime. The study also investigates the dependence of the memory SNR on the mass ratio and spin of the binary systems. The results indicate that the memory SNR is significantly affected by the mass ratio and spin of the binary systems, with higher SNR for systems with higher mass ratios and aligned spins. The paper also explores the impact of GW memory on the detection of MBH mergers, showing that the memory can be detected with high SNR for systems with high mass ratios and aligned spins. The study highlights the importance of GW memory in testing General Relativity and probing the non-linear nature of gravity. The results suggest that GW memory will play a crucial role in the scientific potential of the LISA mission, providing new insights into the behavior of gravity and the structure of the universe. The paper concludes that the detection of GW memory will open new possibilities for astrophysics and fundamental physics research using gravitational waves.This paper presents a study on the detection of gravitational wave (GW) memory by the Laser Interferometer Space Antenna (LISA). The research focuses on the imprint of GW memory on LISA's detector, particularly from the merger of massive black holes (MBHs) in the frequency range of 10⁻⁴ Hz to 10⁻¹ Hz. The study uses the most up-to-date LISA consortium simulations and numerical relativity to compute GW memory time-series. The results show that GW memory will be a key feature of several events detected by LISA, providing complementary information for better characterization of the GW source. The paper discusses the detection prospects of GW memory using the most recent population models of MBHs. It evaluates the odds and expected accuracies of GW memory observations in the LISA lifetime. The study also investigates the dependence of the memory SNR on the mass ratio and spin of the binary systems. The results indicate that the memory SNR is significantly affected by the mass ratio and spin of the binary systems, with higher SNR for systems with higher mass ratios and aligned spins. The paper also explores the impact of GW memory on the detection of MBH mergers, showing that the memory can be detected with high SNR for systems with high mass ratios and aligned spins. The study highlights the importance of GW memory in testing General Relativity and probing the non-linear nature of gravity. The results suggest that GW memory will play a crucial role in the scientific potential of the LISA mission, providing new insights into the behavior of gravity and the structure of the universe. The paper concludes that the detection of GW memory will open new possibilities for astrophysics and fundamental physics research using gravitational waves.