Just wanted to add some more details. There is no certifying body for Scrum Certification. There are a few websites like scrum-master.info which give you the different providers and also how and in what they vary. You can go through the same and pick the one that suffices your needs the best.
This is Jennifer Bellamy here. Recently I have taken up Scrum Master Certification. Based on my earlier research I can suggest few names.There are three hugely regarded certifications and they are from scrum.org, scrumalliance and scrumstudy.com and all are approved by all leading companies.
As mentioned by Matt Daniels, there is no certifying body for Scrum Certification.
if any body in India is looking for Certified Scrum Master in India, they can visit at http://siantiindia.com/scrummaster.html. Me and many of my friends / colleagues did CSM from them. Very good faculty , and really enjoyable interactive session during the class. Mostly all of us got clear in exam in one shot. Fees is reasonable too I believe.
You can just catch them by sending a mail from their registration page , executive will cal you and will explain everything .
GET SCRUM CERTIFIED !!!