Since Google allows account holders to change their password at any time, regularly updating your Gmail password is a free and effective way to prevent unauthorized users from accessing your account. The Accounts and Import section of your Gmail account's Settings page has the option to change your password. The only credential you need to complete the change is your current Gmail password.
Log in to your Gmail account and click the Settings icon, which resembles a cog, at the upper-right corner of the page. Choose Settings from the drop-down menu box to open the Settings page.
Click Accounts and Import and then click Change Password in the Change Account Settings section.
Enter your current account password in the Password field to open the Password page.
Create a new strong password that is in compliance with Google's password requirements. For example, your new alphanumeric password must be a minimum of eight characters in length and it cannot be a password that you have used in the past year. Include both lower- and uppercase letters, numbers and special characters.
Enter the password in the New Password and Repeat New Password fields and then click the Change Password button to set the new password.