Prerequisites:
- Install the WP REST API plugin
 - Install the plugin ACF to REST API V2
- Note: another plugin ‘ACF to WP API’ didn’t work for me
 
 - Install the Chrome plugin Postman
 
Make it work
- Create a Custom post Type
- Set Show in REST API to TRUE
 - enter a REST API base slug (need this for your requests)
 
 - Create some ACF fields for the custom post type
 - Create a Custom post
 - Test the API in Postman:
GET http://localhost/sitename/wp-json/wp/v2/rest-api-base-slugYou should see a json file with acf fields