Yes Suman you can do MBA after completing Bachelor of Journalism and Mass Communication (BJMC) as the basic eligibility criteria for MBA is
Graduation from a recognised University in any discipline
As my suggestion you should do MBA in Media Management

Here is the list of the colleges offering MBA in Media Management

Edvance Institute of Integrated Media - EIIM
Senapati Bapat Marg, Lower Parel,
Mumbai, Maharashtra
(022) 41098888
9890806859
Courses Offered
M.B.A. (Media Management)

Aizaz Rizvi College of Journalism and Mass Communication (ARCJMC)
arclogWsh
Him City 1, Deva Road, Chinhat
Lucknow, Uttar Pradesh
(0522) 6555055, 6555065
9839506555
Courses Offered
Master of Mass Communication (M.M.C.)
M.B.A. (Media Management)

Institute of Management and Technical Studies - IMTS
E-41, Ground Floor, Sector - 3
Noida, Uttar Pradesh
9210989898
Courses Offered
M.B.A. (Media Management)

Amity School of Communication
Amity University Campus, Sector- 125,
Noida, Uttar Pradesh
9899331006, 9958361401
Courses Offered
M.B.A. (Media Management)

International School of Business and Media - ISB&M Noida
B-96/E1, Sector-60, Gautam Budh Nagar
Noida, Uttar Pradesh
(0120) 4099100-198
(0120) 4099199
Courses Offered
M.B.A. (Media Management)

Amity University
Block – J2, Ground Floor, Amity University Campus, Sector-125
Noida, Uttar Pradesh
(0751) 4392000, 2445252, 4713600
Courses Offered
M.B.A. (Media Management)

Galgotias University - GU
Plot No.2, Sector 17-A, Yamuna Expressway, Greater Noida, Gautam Buddh Nagar
Noida, Uttar Pradesh
(0120) 4370000, 4806820
7838829983
Courses Offered
M.B.A. (Media Management)

International School of Business and Media - ISB&M Kolkata
Synthesis Business Park, A Wing, First Floor CBD/1, JL-23, AA-II, New Town, Rajarhat
Kolkata, West Bengal
(033) 66131604, 66131605, 66131606
09230562596
(033) 66131603
Courses Offered
M.B.A. (Media Management)

Amity University
Viraj Khand- 5, Gomti Nagar Scheme,
Lucknow, Uttar Pradesh
(0522) 2399418, 6525676, 6050071, 6050074
Courses Offered
M.B.A. (Media Management)

Hindustan University
P.O. Box No. 1, Rajiv Gandhi Salai (OMR), Padur, (Via) Kelambakkam
Chennai, Tamil Nadu
(044) 27474262, 27474395
(044) 27474208
Courses Offered
M.B.A. (Media Management)