How to connect your household address to its members in civicrm api v3?
You need to provide same set of values to create address for members of the household with additional parameter master_id as Address foreign key id of household contact.

$addressParams = [
  'sequential' =&gt; 1,
  'contact_id' =&gt; $householdContact['id'],
  'location_type_id' =&gt; "Home",
  'is_primary' =&gt; 1,
  'street_address' =&gt; $form_state['storage']['contactInfoValues']['address1'],
  'supplemental_address_1' =&gt; $form_state['storage']['contactInfoValues']['address2'],
  'city' =&gt; $form_state['storage']['contactInfoValues']['city'],
  'state_province_id' =&gt;  $form_state['storage']['contactInfoValues']['state'],
  'country_id' =&gt; "US",
];
$result = civicrm_api3('Address', 'create', $addressParams);

$addressParams['master_id'] = $result['id'];
$addressParams['contact_id'] = $primaryContact['id'];
$result = civicrm_api3('Address', 'create', $addressParams);


HTH

Pradeep