The fact that Artificial Intelligence (AI) is creating literary, artistic, and musical work raises important questions concerning copyrightability and authorship and ownership of such work under Copyright Law. A question that arises is whether AI can be considered the author and owner of work? Further, as per the Copyright Act, 1957, the “author means... in relation to... work which is computergenerated, the person who causes the work to be created”. Thus, who should be considered to have caused work to be created when work is created by AI? Alternatively, can it be said that no person has caused the work to be created? This paper answers these questions from the perspective of Indian Copyright Law and copyright law justifications, while briefly looking at the position in other jurisdictions such as the US and UK. It also provides possible solutions to the issue of authorship and ownership in work created by AI which include - the work entering into the public domain, compulsory licenses being sought to make use of the work, recognition of limited personhood for AI, joint authorship for the persons involved or recognizing a sui generis right in work created by AI.