Supercapattery being remarkable energy storage device combining the strength of supercapacitors and batteries can offer both high power and enhanced energy storage capabilities. In the realm of advanced materials, Metal-Organic Frameworks (MOFs) represent a unique category of porous materials formed through strong bonds between organic linkers and metal ions. Through meticulous ingredient selection, MOFs can exhibit extremely large surface areas, exceptional chemical stability, and significant pore volumes. In this study, we demonstrate the electrochemical energy storage performance of copper intercalated MOF (Cu-MOF) synthesized via a hydrothermal method for the application of supercapattery. Initially, we employed a three-electrode assembly to scrutinize the electrochemical characteristics of the synthesized material. To investigate the nature of the electrodes, electrochemical analysis including cyclic voltammetry (CV), galvanostatic charge discharge (GCD), and electrochemical impedance spectroscopy (EIS) were performed. The synthesized material exhibited excellent specific capacity of 403.5 C/g at 1.5 A/g, indicating its battery-grade quality. Due to its superior electrochemical performance, the supercapattery device was fabricated by coupling Cu-MOF with activated carbon (AC), Cu-MOF was subjected to positive and AC was employed as the negative electrode. The Cu-MOF//AC exhibited remarkable specific capacity of 165 C/g at 0.7 A/g. Furthermore, this device showcased impressive specific energy of 40 Wh/kg at specific power of 567 W/kg. The device demonstrated an impressive maximum specific power of 6336 W/kg, while its exceptional stability of 95.6 % was demonstrated through 5000 cycles at room temperature. The performance of fabricated device was also evaluated using a theoretical model to assess the diffusive and capacitive contribution. The hybrid characteristics of the devices were investigated using a power law.