Resonant optical antennas (ROAs) are nanodevices that can enhance the electromagnetic field in their vicinity and scatter the light in the far field. The enhanced field is localized in subdiffraction-limited volume. Their ability to exhibit strong field enhancement in the gap makes them suitable for coupling with quantum emitters. This paper introduced two novel bimodal and triple-modal asymmetric cross-shaped optical nanoantenna designs. The performance of the reported nanoantennas is numerically studied via the finite element method (FEM). The electric field enhancements and optical cross-sections are calculated to characterize the performance of the designs. These nanoantennas are low-symmetry and polarization-sensitive devices. Furthermore, the reported plasmonic nanostructures exhibit two or three tunable resonances in the optical and near-infrared wavelength regions with ultra-high field enhancement. The reported coupled cross-shaped exhibits a field enhancement of 45.9 for the high-energy resonance and 149.4 for the low-energy resonance, respectively, on ETOT/EIN\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\left|{E}_{\\mathrm{TOT}}\\right|/\\left|{E}_{\\mathrm{IN}}\\right|$$\\end{document} scale.