diff --git a/addons/account/models/account_move.py b/addons/account/models/account_move.py
index f0b1f2430a5..5e0166b2874 100644
--- a/addons/account/models/account_move.py
+++ b/addons/account/models/account_move.py
@@ -1043,8 +1043,7 @@ class AccountMove(models.Model):
                         company=invoice.company_id,
                         sign=sign
                     )
-                    multiple_installments = len(invoice_payment_terms['line_ids']) > 1
-                    for i, term_line in enumerate(invoice_payment_terms['line_ids']):
+                    for term_line in invoice_payment_terms['line_ids']:
                         key = frozendict({
                             'move_id': invoice.id,
                             'date_maturity': fields.Date.to_date(term_line.get('date')),
@@ -1053,13 +1052,10 @@ class AccountMove(models.Model):
                         values = {
                             'balance': term_line['company_amount'],
                             'amount_currency': term_line['foreign_amount'],
-                            'name': invoice.payment_reference or '',
                             'discount_date': invoice_payment_terms.get('discount_date'),
                             'discount_balance': invoice_payment_terms.get('discount_balance') or 0.0,
                             'discount_amount_currency': invoice_payment_terms.get('discount_amount_currency') or 0.0,
                         }
-                        if multiple_installments:
-                            values['name'] = f'{values["name"]} installment #{i + 1}'.lstrip()
                         if key not in invoice.needed_terms:
                             invoice.needed_terms[key] = values
                         else:
diff --git a/addons/account/models/account_move_line.py b/addons/account/models/account_move_line.py
index 00e786bd3f4..5b256cdbc78 100644
--- a/addons/account/models/account_move_line.py
+++ b/addons/account/models/account_move_line.py
@@ -459,10 +459,13 @@ class AccountMoveLine(models.Model):
     def _compute_name(self):
         for line in self:
             if line.display_type == 'payment_term':
-                if line.move_id.payment_reference:
-                    line.name = line.move_id.payment_reference
-                elif not line.name:
-                    line.name = ''
+                if not line.name:
+                    term_lines = line.move_id.line_ids.filtered(lambda l: l.display_type == 'payment_term') | line
+                    name = line.move_id.payment_reference or ''
+                    if len(term_lines) > 1:
+                        index = term_lines._ids.index(line.id) + 1
+                        name = _('%s installment #%s', name, index).lstrip()
+                    line.name = name
                 continue
             if not line.product_id or line.display_type in ('line_section', 'line_note'):
                 continue