In this study, friction-stir spot welding is performed on DP780 dual-phase steel sheets to investigate the effect of the tool geometry and welding parameters on the static strength, the failure mode and the microstructure of the welds. First, the effects of two different parameters, the tool plunge depth and the tool holding time, were evaluated, where the tool penetration varied between 1.9-2.8 mm and the dwell time between 8-16 s. The tensile shear strength was first increased with the tool penetration and then decreased, while a longer tool holding time increased the tensile shear strength of the joints. Next, welds were made to compare the effects of two tool geometries, i.e., the conventional tapered pin and the triangular pin, on the hook shape, microstructure and static strength. The difference in the hook geometry led to differences in the tensile shear strength of the welds. The static strength of the welds made with the triangular pin was higher than that obtained using the tapered pin. Keywords: friction-stir spot welding, tool geometry, static strength, dual-phase steel, microstructure V {tudiji je izvedeno torno vrtilno to~kovno varjenje na DP780 dvofazni jekleni plo~evini, z namenom raziskave vpliva geometrije orodja in varilnih parametrov na stati~no trdnost, tip po{kodbe in mikrostrukturo zvarov. Najprej so bili ocenjeni u~inki dveh razli~nih parametrov, globine penetriranja in~asa zadr`anja orodja. Globina je variirala med 1,9 mm in 2,8 mm in zadr`evalni~as med 8 s in 16 s. Natezna stri`na trdnost se je s pove~anjem globine penetracije najprej zvi{ala, nato pa zni`ala, medtem ko je~as zadr`evanja orodja pove~al natezno stri`no trdnost zvarov. Izdelani so bili tudi zvari, na katerih se je dolo~il vpliv geometrije orodja, klasi~nega polkro`nega in trikotnega profila, na obliko, mikrostrukturo in trdnost zvarov. Stati~na trdnost zvarov, narejenih z orodjem trikotnega profila, je bila vi{ja kot tista, pridobljena s polkro`no obliko.