In this article, a novel hybrid optimization technique based on differential evolution (DE) and naked mole-rat (NMR) algorithms, has been introduced to solve various engineering global optimization problems. The hybridization introduced to overcome the poor exploration and local optima stagnation problems of DE and basic NMR versions. Therefore, the DE global search equations have been incorporated into the NMR worker phase for enhancing the exploration. For this, a Levy based scaling factor and simulated annealing based mating factor has been utilized. The hybrid performance of DE and NMR (HDN algorithm) is tested on twelve CEC 2005 and ten complexes CEC 2019 benchmark functions. In order to check the capability and effectiveness, HDN is introduced in the field of electromagnetics for designing a unique trapezoidal-shaped ultrawideband monopole antenna with triple-band rejection characteristics using an optimization interface of HDN and CST microwave simulator. In resultant, the size of the optimized antenna has been reduced to 20 mm × 28 mm, working over the frequency range of 2.88–13 GHz (fractional bandwidth of 126%). Additionally, band rejection characteristics were achieved by inserting two inverted U-slots and one C-strip pair inbuilt to the patch geometry. Hence, it rejected 3.3–3.6, 5.15–5.85 and 7.8–8.9 GHz frequency-bands to prevent the unwanted signal interference of the corresponding WI-MAX, WLAN, and X-bands, respectively. After that, the prototype was fabricated and measured on RF experimental test-bed to perform hardware benchmarking. Therefore, output electrical performance validates the HDN is capable enough to solve the complex antenna problems and able to adapt modern wireless communication and advanced engineering optimization tasks.