An application for new cheque book is a formal letter written to the bank manager when you need a new cheque book for your savings or current account. This is common when the old cheque book is finished or when you open a new account.
Below are simple sample formats you can edit and submit at the branch.

Sample 1: Request for New Cheque Book
To,
The Branch Manager
[Bank Name]
[Branch Address]
Date: [Write Date]
Subject: Application for new cheque book
Respected Sir/Madam,
I hold a [savings/current] account number [Account Number] in your branch. My existing cheque book is finished. Kindly issue me a new cheque book of [25/50/100] leaves.
Account Number: [Number]
Account Holder Name: [Your Name]
Mobile Number: [Number]
I shall be thankful to you.
Yours faithfully,
[Your Name]
Signature
Sample 2: Simple Cheque Book Request
To,
The Manager
[Bank Name & Branch]
Date: [Write Date]
Subject: Request for issue of new cheque book
Respected Sir/Madam,
Please issue a new cheque book for my account number [Account Number]. I need [number] leaves. All details are given below.
Thanking you,
Yours faithfully,
[Your Name]
Signature
Sample 3: Cheque Book for Business Account
To,
The Branch Manager
[Bank Name]
Date: [Write Date]
Subject: Application for new cheque book
Respected Sir/Madam,
I maintain a current account number [Account Number] in the name of [Name]. Kindly issue a new cheque book of 100 leaves at the earliest.
Yours faithfully,
[Your Name]
Signature
These samples for an application for new cheque book can be submitted at the bank branch with your passbook or ID proof if required.