This tutorial will show you the required steps you need to implement in order to create new customer address programatically in prestashop. First step we will need to create a postProcess function in your module. If you don't have already a module created you can override the FrontController.php and add it the that file. So open up override folder and use the prestashop default folders structure to create a new file and name it: FrontController.php

Add function to create new customer address

Now, we have to create the postProcess function which will be triggered and we need.

The function will look like the following:

if(Tools::isSubmit('create_new_address')){
  $fields = $_POST;
  $this->createNewAddress($fields);
}

We get all parameters which are in the $_POST request and send them our function which looks like below:

public function insertNewAddress($address){
    $AddressObject = new Address();
        $AddressObject->id_customer = $this->context->customer->id; 
        $AddressObject->firstname = pSQL($address->firstname);
        $AddressObject->lastname = pSQL($address->lastname);
        $AddressObject->address1 = pSQL($address->address1);
    $AddressObject->company = pSQL($address->company);
    $AddressObject->vat_number = pSQL($address->vat_number);
    $AddressObject->company_registration_number = pSQL($address->company_registration_number);
    $AddressObject->postcode = pSQL($address->postcode);
        $AddressObject->city = pSQL($address->city);
    $AddressObject->id_country = (int)$address->country; 
        $AddressObject->alias = pSQL($address->address_name);
        $AddressObject->add();
    return $AddressObject->id;
    $this->context->cookie->__set('custom_address_id', $AddressObject->id);
  }

And that's it , you can use the above code to add a new customer address programatically, I hope it will help you.