I'm assuming, since you haven't mentioned it, that you don't have substantive work experience and that you're therefore looking at entry-level jobs.
The certificates you hold/are about to complete (BSc and MSc) will be sufficient to secure this kind of role. If you were to add anything to your CV, I would recommend as much work experience as you can. If you're targeting a particular sector (e.g. financial services IT) then even non-IT based work experience can be beneficial if it allows you to interact with people in the business and understand the commercial issues in the industry.
The types of jobs you are looking for will typically be advertised as "graduate jobs" and there are a number of good sources to find them advertised. Sites such as prospects.ac.uk, doctorjob.com, and especially your university's career service website. Numerous companies hire graduates directly into business analysis tracks, or into rotational programmes that will allow you to try business analysis work and specialise in that direction after a year or two.
There isn't any advice I can offer on getting these jobs that isn't better-covered by the advice you'll find on the graduate recruitment sites. You should also make use of your university careers services whilst you're still enrolled and on campus - they will almost certainly offer CV review and practice interview sessions, which are a great way to prepare for your initial job applications. The rest you will pick up as you get used to the job selection process.