You can recover MySQL database server password with following five easy steps.

Step # 1 : Stop mysql service

# /etc/init.d/mysql stop

Step # 2: Start to MySQL server w/o password:

# mysqld_safe --skip-grant-tables &

Step # 3: Connect to mysql server using mysql client:

# mysql -u root

Step # 4: Setup new MySQL root user password

mysql> use mysql;
mysql> update user set password=PASSWORD("NEW-ROOT-PASSWORD") where User='root';
mysql> flush privileges;

Step # 5: Stop MySQL Server:

# /etc/init.d/mysql stop

Step # 6: Start MySQL server and test it

# /etc/init.d/mysql start

mysql -u root -p