Purpose To access the current status of the security and feasibility of right kidney (RK) and multiple-renal artery (MRA) laparoscopic living donor nephrectomy (LLDN) which are more challenging compared to left kidney (LK) and single renal artery (SRA) because of a shorter renal vein and more complex vascular anatomy. Methods We did a systematic review of the literature according to the PRISMA recommendations, reporting RK or MRA donor nephrectomy performed with a laparoscopic technique compared to LK or SRA kidney LLDN. The identified and analyzed primary outcomes of interest were operating time (OT), warm ischemia time (WIT), rate of conversion and transfusion , donor length of stay (LOS), delayed graft function (DGF) and rate of graft loss (GL). Results 16 comparative studies (1397 cases) of RK-LLDN and 12 comparative studies including 15 series (993 cases) of MRA-LLDN were selected. For RK-LLDN review, conversion rate was 0.8% and blood transfusion rate 0.2%, only one case of graft venous thrombosis was reported, OT was shorter in four studies and there was no any difference of DGF and GL rate compared to LK-LLDN. For MRA-LLDN review, conversion rate was 1.3% and blood transfusion rate 1.1%, OT and WIT were longer compared to SRA-LLDN, there were more ureteral complications in two studies, and no difference in terms of vascular complications and graft loss rate. Conclusion RK-LLDN and MRA-LLDN would be similar to LK-LLDN and SRA-LLDN in terms of feasibility and safety for the donor as well as graft function results for RK-LLDN.