The aim of this study was to develop a protocol for the in vitro conservation of sweet potato genotypes using the slow growth technique. The first experiment was conducted in a 4 × 5 × 2 factorial scheme, testing four genotypes (IPB-007, IPB-052, IPB-072, and IPB-137), five concentrations of abscisic acid (ABA) (0.0, 1.0, 2.0, 4.0, and 8.0 mg·L−1), and two temperatures (18 and 25°C). The second experiment was conducted in a 4 × 3 × 3 factorial scheme at 18°C, testing four genotypes (IPB-007, IPB-052, IPB-072, and IPB-137), three variations of MS salts (50, 75, and 100%), and three concentrations of sucrose (10, 20, and 30 g·L−1). Every three months, we evaluated the survival (%), shoot height, and shoot viability. In vitro conservation of the sweet potato genotypes IPB-052 and IPB-007 was obtained over three and six months, respectively, using MS medium plus 2.0 mg·L−1 of ABA at either 18 or 25°C. Genotypes IPB-072 and IPB-137 can be kept for three and six months, respectively, in MS medium without ABA at 18°C. It is possible to store IPB-052 and IPB-072 for six months and IPB-007 and IPB-137 for nine months using 30 g·L−1 of sucrose and 50% MS salts.