In Mexico, there is a need to produce large quantities of plantlets for the establishment and replanting of blue (cv. azul) agave production areas. Most of these plots are within the origin denomination area (DOT, Spanish acronym) of the distilled product of this plant, known as tequila. The objective of this study was to develop an in vitro-propagation protocol for Agave tequilana Weber cv. azul using segmented stems in both: solid and liquid media. A disinfection and in vitro technique were developed to obtain shoots, through plantlets collected in commercial plots, which attained 100% surface-disinfection and budding rate. At the multiplication stage, the effects of 6-Benzylaminopurine (BA) (0.0, 4.4 and 13.2 μM) and kinetin (0.0, 9.4, 18.8 and 37.6 μM) were evaluated on lateral-shoot production of segmented sagittal stems. These were cultivated on Murashige & Skoog (MS) medium, with the addition of 3.0% sucrose and 8 g L−1 agar. It was observed that BA and kinetin increased the number of shoots per explant, obtaining up to 18 and 26, respectively. Furthermore, it was found that just the sagittal segmentation of explants increased axillary budding. On the other hand, segmented-stem bases were grown in MS liquid medium with 3.0% sucrose, inside a RITA® system, programmed by a 5 min immersion step with a frequency of every 4 h. The effect of Indole−3-Acetic acid (IAA) (0.57, 2.9, 5.7 μM) was evaluated, while maintaining a concentration of BA (13.2 μM). It was observed that the greatest concentration of IAA led to the formation of more than 20 buds per explant. These results offer a new methodology to increase the efficiency of A. tequilana Weber cv. azul-in vitro multiplication by sagittal segmentation of stems and the addition of BA and/or IAA.