If there is an error in your name in your degree certificate. you should get it corrected. For this correction, you have to apply to the university in which you studied your degree. Some Universities will have an online application facility. You can check the website of your university and if there is a facility to upload online you can do that.
Otherwise, you have to apply for correction through the college you studied. For this, you have to approach the Principal of your college and apply for the correction. You have to attach your original degree certificate and your SSC or 12th class certificate in which your name is correctly mentioned. The principal will forward it to the University office and once he receives back the degree certificate with correction he will give you the same.
If you are in a hurry you can take the letter from the Principal and directly approach the concerned section in the Registrar's Office of your University. They will do the needful.