What is the difference between Present and Gift?

The two words have the same meaning of giving a person something without expecting anything in return. But there is a slight difference which is:

Present: is the more informal synonym.

Example:

Ali received presents on his birthday.

Gift: can be used as an attributive noun to modify a noun. You can say a wedding gift or a gift box.

Example:

The manager got flowers as a promotion gift from the team.