You can create an address book database in MySQL by performing the following steps:

1. Connect to the MySQL server using the MySQL command line client or a GUI tool such as phpMyAdmin.

2. Create a new database for the address book by running the command CREATE DATABASE address_book;.

3. Use the newly created database by running the command USE address_book;

4. Create a new table for the address book entries by running a command like the following: CREATE TABLE contacts (id INT NOT NULL AUTO_INCREMENT PRIMARY KEY, first_name VARCHAR(255), last_name VARCHAR(255), email VARCHAR(255), phone VARCHAR(255));

5. Add some data to the table by running commands like the following: INSERT INTO contacts (first_name, last_name, email, phone) VALUES ('John', 'Doe', 'johndoe@example.com', '555-555-5555');

6. You can now query the table to view the data or modify it as needed.

Note that this is a basic example and you may want to add more fields or constraints depending on your use case.