Ph.D

Yes friend but Master degree is necessary.
Admission Eligibility
The minimum qualification for admission to the M.Phil. Programme will be at least 55% marks in the aggregate in M.Com. / MIB/ MHROD/ MFC/ MBA and other such degrees which are equivalent to the MBA degree of the University of Delhi and other Indian Universities. However, the candidates with degrees other than M.Com. / MIB/ MHROD/ MFC/ MBA would be required to furnish an equivalence certificate from the Association of Indian Universities/ Delhi University or any other competent authority. The onus of producing the relevant equivalence certificate lies on the candidate. Candidates who have appeared for the examination in above mentioned post graduate programme can also apply. However, such candidates will be allowed to appear for the entrance test only provisionally. Their applications will be considered subject to submission of their final results within a prescribed time stipulated by the Department and fulfillment of the minimum eligibility requirements.

UGC acronym stands for University Grants Commission, India. It is a statutory body that was started in 1956. It was set up by the Union Government of India to ensure that the standard of the University education in India is maintained. The UGC controls the following in India:
1. Maintaining the standard of research, teaching and examination in the universities.
2. Promoting university education
3. Making regulations to maintain the minimum standard of education in the country
4. It is a link between the union government and the institutes of higher education
5. It also advises the government about the steps to be taken in order to improve the education system. You have not to show your certificate to UGC but these certificate are must from UGC approved college. Then only you can get admission in higher study.

Your question falls in the Ph.D English tag as well which suggests you want to do a Ph.D in English. A Ph.D depends more on the previous qualifications. The university falls under the approved universities and the course of Ph.D has its own benefits. I wish to share this personal observation, not a common though, that a Ph.D from private universities is, most of the times, looked down upon. Ph.D gives you chances of promotion in a job. It adds to the eligibility to teach UG and PG students, especially, PG classes are given to Ph.D holders. JJT is a private university, but not questionable. Ph.D has benefits. A Ph.D from JJT doesn't have anything special. If you are getting admitted, go ahead.