The use of resins derived from epoxidized soybean oil (ESO) promotes advances in sustainable materials and reduces carbon footprint. There is technological potential for the development of nanocomposites with viable technical performance, aligning functional properties with environmental impact mitigation. However, ESO acts as an electrical insulator, limiting applications as a material for static charge dissipation and electromagnetic interference shielding. Therefore, electrical and hybrid nanocomposites based on ESO were prepared with fumaric acid as the curing agent, using carbon nanotubes (MWCNT) and graphene (G) as conductive nanofillers. The ESO/MWCNT/G nanocomposites were evaluated through electrical conductivity (σ), electromagnetic interference shielding (EMI SE), and reflection loss (RL), adopting hybridization between MWCNT/G with 5/0, 4/1, 3/2, 2/3, 1/4, and 0/5 parts per hundred resin (phr). The pure ESO exhibited insulating behavior, with a conductivity of 1.61 x 10⁻¹¹ S/cm, which resulted in low electromagnetic shielding performance (~1 dB) between 8.2-18 GHz. The ESO nanocomposite with MWCNT/G (5/0 phr) showed the highest electrical conductivity value of 5.81 x 10⁻⁵ S/cm, leading to the highest magnetic shielding performance between 12-15 dB. Among the hybrid nanocomposites, the MWCNT/G (3/2 phr) formulation demonstrated synergy in magnetic shielding effectiveness, although still lower than that of MWCNT/G (5/0 phr). The shielding mechanism of the ESO/MWCNT/G nanocomposites was primarily due to reflection, except for MWCNT/G (5/0 phr), which, in the Ku band, showed nearly identical values of energy shielded by reflection and absorption. In terms of RL, the best results were observed for MWCNT/G (3/2 and 2/3 phr) in the Ku band, reaching -10 dB (corresponding to 90% attenuation), which is the minimum standard value for a material with good absorptivity. The results suggest potential for application as a coating for static charge dissipation.