Abstract: To explore the conflicting requirements of enhancing both the penetration depth and focusing precision of transcranial magnetic stimulation (TMS) coils, a novel conical coil design is proposed. This innovative approach seeks to improve the focusing capabilities for shallow-depth stimulation while simultaneously maintaining or enhancing penetration depth. Meanwhile, an X-shaped magnetic core was incorporated to further enhance the penetration and focusing performance of the overall coil, thereby resolving the contradictions in the performance improvement of the coils. Two sets of class 8 coil structures were selected to form a combined coil to better fit the X-core. The effects of different current excitation methods and coil shapes were compared, and the optimal combined coil model was selected. Finally, based on the feature that the X-core has variable height, width, and thickness, the stimulation depth and focusing properties of the X-core with different height, width, and thickness were analyzed separately from two aspects. The results of the optimal core coil were compared with those of the previously proposed superficial stimulation coil. For conical coils, the selection of triangular figure of eight(FOE)首次出现加全拼 coils can effectively enhance the focusing performance. And for adjacent coils in the conical coil configuration with opposite current directions, significant improvements in focusing performance were observed. By carefully selecting appropriate parameters for the X-shaped magnetic core, a notable enhancement in both the focusing and penetration capabilities of the electric field generated at the scalp was achieved. Specifically, the focusing performance improved by approximately 8.67%, while the penetration performance increased by approximately 18.72%. The use of a conical transcranial magnetic stimulation (TMS) coil with properly chosen parameters for the X-shaped magnetic core can simultaneously enhance the focusing and penetration capabilities. This development may offer a novel tool for studying and clinically applying treatments related to mental and neurological disorders associated with subsequent brain area dysfunctions.