Meaning of Indian name: Deepesh. Meaning of the name Deepesh is 'Lord of light'. Deepesh is a name of Hindu / Indian origin, and is commonly used for males.The name number for Deepesh is '8'. Click here to get the numerological analysis for the name 'Deepesh'.eaning of Indian name: Deepesh. Meaning of the name Deepesh is 'Lord of light'. Deepesh is a name of Hindu / Indian origin, and is commonly used for males.