We propose a new type of high-temperature superconducting (HTS) conductor concept: modularized conductors (MC) connected by Chinese traditional tenon-mortise (TM) connection structure, reffered as TMMC. The conductor consists of multiple concentric round sub-conductors with slots for stacking REBCO tapes. Innovatively, the REBCO stacks in the adjacent sub-conductors are arranged with the fully-misaligned configuration to enhance the critical current’s isotropy with respect to magnetic field and reduce ac loss. For example, the angle between the adjacent stacks in the two adjacent sub-conductors is 45o if each sub-conductor contains 4 REBCO stacks. In order to construct the fully-misaligned configuration, the sub-conductors are designed with two open half-circular formers and connected by tenon-mortise structure which makes the conductor modulrized and simply to assembly and disassembly. Based on the design concept, a prototype conductor containing 160 REBCO tapes distributed in the four concentric sub-conductors is fabricated. The conductor’s measured critical current is 13.69 kA at 77 K and sefl-field, which is consistent to the simulaiton result. In order to further improve the TMMC’s engineering critical current density (Jce) and bending performance, we propose two enhancement approaches: reducing the former’s thickness and re-arrange stacks in the outer sub-conductors. With the enhancements, both TMMC’s radius and Jce are comparable to the existing slotted-core conductor. The study shows the TMMC’s advantages of non-twisted structures, easy assembly, high-current carrying and low ac losses, which makes it promising for constructing large-scale scientific devices.