Despite the recent publication of the analytical synthesis of voltage-mode even/odd-nth-order differential difference current conveyor (DDCC) and fully differential current conveyor II (FDCCII)-grounded resistor and capacitor universal Butterworth/Chebyshev filter structures, an elliptic voltage-mode even/odd-nth-order DDCC and FDCCII-based filter structure is yet to be presented in the literature. Under the restriction of a finite order, the elliptic filter is better at meeting the stringent cutoff rate of a very narrow transition band as compared to other kinds of filters, thus making the synthesis of such an elliptic filter to be extremely useful. In this study, one even-nth-order and two odd-nth-order elliptic filter structures are analytically synthesised using DDCCs and FDCCIIs. The feasibility of such structures is validated through H-spice simulations on the proposed elliptic third-order low-pass and elliptic fourth-order low-pass, high-pass, band-pass, and band-reject filters.