Following the conceptual design, the engineering design of the dc magnet and cable-in-conduit conductor (CICC) for the Super-X test facility has been done in 2021. Totally three types of conductors with different structures were designed for the three pairs of coils in the dc magnet, respectively. High-J(c) Nb3Sn strand (J(c) similar to 2200 A/mm(2) at 12 T, 4.2 K) was applied to high field and middle field coils for reducing the radius of the dc magnet. In order to qualify if the designed parameters of the conductors could fulfill the performance criteria, three pairs of short samples have been manufactured and tested successfully in the SULTAN facility at SPC, Switzerland. Test results and analysis show that dc performance of the three types of conductors can meet the design criteria. The conductor qualification process including the sample preparation, test results, and analysis are presented in this article. The HFC and LFC conductors exhibit different ac loss behavior to the MFC conductor, which is discussed in the article.