The two codes are essentially the same in their purpose, but the term Zip code is mainly used in the USA; Postal Code is commonly used in other countries.

What is your postal code?

A postal code (ZIP code) is the unique number of a post office or a mail sorting center. If your country has a postal code system (majority of countries have one) it is important that you provide a correct Postal (ZIP) code for your delivery address.

Is Canada ZIP code or postal code?

A Canadian postal code is a six-character string that forms part of a postal address in Canada. Like British, Irish and Dutch postcodes, Canada's postal codes are alphanumeric. They are in the format A1A 1A1, where A is a letter and 1 is a digit, with a space separating the third and fourth characters.