It depends on your bank and what kind of business the account is for. If you are setting up a business bank account for a limited company (or LLP), you will have to provide your company registration number. Some banks may also request copies of your certificate of incorporation, the memorandum and articles of association and share certificates.
Regardless of which kind of business the account is for, you will most likely have to provide photographic ID and proof of address documentation for the business owners, directors and anyone else who will be authorised to use the account. The bank will also carry out a credit check on each account signatory.