In this thesis, two contactless magnetic manipulation methodologies were introduced, which are magnetic levitation (MagLev) and biopatterning techniques. The optimization steps of both techniques were completed with NIH/3T3 mouse fibroblast cells. Later, 3D cardiac models were developed using H9c2 rat cardiomyocytes. For the MagLev technique, tunable 3D spheroids were obtained with changing initial cell seeding number, gadobutrol concentrations, and culturing time. For the biopatterning approach, a new bio-ink formulation, which comprises alginate, magnetic nanoparticles, and cells, was developed. Further, biopatterned cellular structures were fabricated in different shapes such as discs, rings, and rectangles under an external magnetic field. Later, characterization was done successfully via immunostaining of collagen I, F-actin, and DAPI. Moreover, cardiac-specific markers; cardiac troponin T and MYH6 were analyzed for both 3D cardiac spheroids and patterned 3D cardiac structures. Finally, doxorubicin was applied to evaluate the drug responses. IC50 values were calculated as 14.7 μM and 8.1 μM for 3D cardiac spheroids and 3D cellular structures respectively, while standard 2D cell culture was 3.5 μM which indicated 3D cardiac models were more resistant to drug exposure. In the last part of thesis, patterned 3D cardiac structures were fabricated using co-cultured hiPSC-derived cardiomyocytes and cardiac fibroblast cells via biopatterning methodology. Characterization was carried out successfully by immunostaining of α-actinin, collagen I, Cx-43, Troponin T, and DAPI. Taken together, to fabricate 3D cell culture models, MagLev and biopatterning-based contactless manipulation methodologies may be good alternatives to conventional 2D cell culture methods for tissue engineering applications, especially for drug screening.