The botanical name of banana is Musa spp
It belongs to KingdomPlantae
It is an Angiosperms
It is a Monocots
It belongs the Commelinids
The Order of banana is known as  Zingiberales
It is a member of Family Musaceae
Its Genus is Musa

Banana species and their Botanical names

Musa acuminata - edible banana
Musa balbisiana  - banana
Musa paradisiaca. - French plantain
Musa coccinea - scarlet banana
Musa velutina - hairy banana
Musa textilis - abaca 
Musa troglodytarum - Fe'i banana
The majorly grown bananas are Musa acuminaia, Musa balbisiana and Musa paradisiaca (hybrid of Musa acuminata and Musa balbisiana).
The cultivated banana is often listed in botanical references as Musa x paradisiaca (Musaceae), although it is actually a complex hybrid derived from two diploid Asian species, M. acuminata and M. balbisiana. Musa acuminata is a species native to the Malay Peninsula and adjacent regions and is thought to have given rise in total or in part to all edible banana varieties. Musa balbisiana is found from India eastwards to the tropical Pacific. This hybridisation probably occurred as Musa acuminata plants (2genome = AA) were increasingly cultivated over the distributional range of Musa balbisiana (2n genome = BB). Although the Musa acuminata cultivars were sterile because of being seedless, they did produce fertile pollen.

Botanical description of banana 

The banana is the largest growing herbaceous flowering plant which grows all its upper part from a structure call corm. 
It has a false stem called pseudostem which appears like a trunk. 

The banana plant is a gigantic herb that springs from an underground stem, to form a false trunk 3–6 metres (10–20 feet) high. 

This trunk is composed of the basal portions of leaf sheaths and is crowned with a rosette of 10 to 20 oblong to elliptic leaves that sometimes attain a length of 3–3.5 metres (10–11.5 feet) and a breadth of 65 cm (26 inches). A large flower spike, carrying numerous yellowish flowers protected by large purple-red bracts, emerges at the top of the false trunk and bends downward to become bunches of 50 to 150 individual fingers. 

The individual bananas are grouped in clusters, or hands, of 10 to 20. After a plant has fruited, it is cut down to the ground, because each trunk produces only one bunch of fruit. 

Now that we've discussed the botany of banana, here is a simple question for you; what is the botanical name of banana?