A Pareto multi‐objective genetic algorithm (MOGA) has been applied to the design of non‐dispersive, ultra‐wideband (UWB), resistively loaded, thin‐wire antennas for ground‐penetrating radar (GPR) applications. The radiation characteristics of the antennas are optimized, seeking to maximize the bandwidth and the front‐to‐back ratio. The variables in the design are the value and position of the resistive loads located along the antenna wires, the number of wires and the angular distances between those wires. The radiation characteristics of the optimized antennas are explored and an example of an application to detect cracks in marble blocks is presented.