Smart Forms are represented as JSON. In order to move Smart Forms across different Orgs, you need to Export and Import the Form as JSON. 

Export the Smart Form 

Firstly, you need to learn how to export a Smart Form. Please click here for more information on this process: Exporting Smart Forms

Import the Smart Form 

Then you need to Import the Smart Form into the target Org. For more information on importing Smart Forms, please see here: Importing Smart Form Versions