diff --git a/CHANGELOG.md b/CHANGELOG.md
index de10779f666..ed202d3a267 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -2,6 +2,10 @@
 
 ## master (unreleased)
 
+### New features
+
+* [#7944](https://github.com/rubocop-hq/rubocop/issues/7944): Add `MaxUnannotatedPlaceholdersAllowed` option to `Style/FormatStringToken` cop. ([@Tietew][])
+
 ### Bug fixes
 
 * [#8892](https://github.com/rubocop-hq/rubocop/issues/8892): Fix an error for `Style/StringConcatenation` when correcting nested concatenable parts. ([@fatkodima][])
diff --git a/config/default.yml b/config/default.yml
index f57334fa916..18d7238baa8 100644
--- a/config/default.yml
+++ b/config/default.yml
@@ -3109,8 +3109,12 @@ Style/FormatStringToken:
     # Prefer simple looking "template" style tokens like `%{name}`, `%{age}`
     - template
     - unannotated
+  # `MaxUnannotatedPlaceholdersAllowed` defines the number of `unannotated`
+  # style token in a format string to be allowed when enforced style is not
+  # `unannotated`.
+  MaxUnannotatedPlaceholdersAllowed: 1
   VersionAdded: '0.49'
-  VersionChanged: '0.75'
+  VersionChanged: '1.0'
 
 Style/FrozenStringLiteralComment:
   Description: >-
diff --git a/docs/modules/ROOT/pages/cops_style.adoc b/docs/modules/ROOT/pages/cops_style.adoc
index 456bc89f1ef..ba1ddc1ba52 100644
--- a/docs/modules/ROOT/pages/cops_style.adoc
+++ b/docs/modules/ROOT/pages/cops_style.adoc
@@ -3405,7 +3405,7 @@ puts '%10s' % 'hoge'
 | Yes
 | No
 | 0.49
-| 0.75
+| 1.0
 |===
 
 Use a consistent style for named format string tokens.
@@ -3416,6 +3416,10 @@ which are passed as arguments to those methods:
 The reason is that _unannotated_ format is very similar
 to encoded URLs or Date/Time formatting strings.
 
+It is allowed to contain unannotated token
+if the number of them is less than or equals to
+`MaxUnannotatedPlaceholdersAllowed`.
+
 === Examples
 
 ==== EnforcedStyle: annotated (default)
@@ -3454,6 +3458,29 @@ format('%{greeting}', greeting: 'Hello')
 format('%s', 'Hello')
 ----
 
+==== MaxUnannotatedPlaceholdersAllowed: 0
+
+[source,ruby]
+----
+# bad
+format('%06d', 10)
+format('%s %s.', 'Hello', 'world')
+
+# good
+format('%<number>06d', number: 10)
+----
+
+==== MaxUnannotatedPlaceholdersAllowed: 1 (default)
+
+[source,ruby]
+----
+# bad
+format('%s %s.', 'Hello', 'world')
+
+# good
+format('%06d', 10)
+----
+
 === Configurable attributes
 
 |===
@@ -3462,6 +3489,10 @@ format('%s', 'Hello')
 | EnforcedStyle
 | `annotated`
 | `annotated`, `template`, `unannotated`
+
+| MaxUnannotatedPlaceholdersAllowed
+| `1`
+| Integer
 |===
 
 == Style/FrozenStringLiteralComment
diff --git a/lib/rubocop/cop/style/format_string_token.rb b/lib/rubocop/cop/style/format_string_token.rb
index 688b06ada2d..d17d8505d24 100644
--- a/lib/rubocop/cop/style/format_string_token.rb
+++ b/lib/rubocop/cop/style/format_string_token.rb
@@ -37,6 +37,27 @@ module Style
       #
       #   # good
       #   format('%s', 'Hello')
+      #
+      # It is allowed to contain unannotated token
+      # if the number of them is less than or equals to
+      # `MaxUnannotatedPlaceholdersAllowed`.
+      #
+      # @example MaxUnannotatedPlaceholdersAllowed: 0
+      #
+      #   # bad
+      #   format('%06d', 10)
+      #   format('%s %s.', 'Hello', 'world')
+      #
+      #   # good
+      #   format('%<number>06d', number: 10)
+      #
+      # @example MaxUnannotatedPlaceholdersAllowed: 1 (default)
+      #
+      #   # bad
+      #   format('%s %s.', 'Hello', 'world')
+      #
+      #   # good
+      #   format('%06d', 10)
       class FormatStringToken < Base
         include ConfigurableEnforcedStyle
 
@@ -44,8 +65,12 @@ def on_str(node)
           return unless node.value.include?('%')
           return if node.each_ancestor(:xstr, :regexp).any?
 
-          tokens(node) do |detected_style, token_range|
-            if detected_style == style || unannotated_format?(node, detected_style)
+          detections = collect_detections(node)
+          return if detections.empty?
+          return if allowed_unannotated?(detections)
+
+          detections.each do |detected_style, token_range|
+            if detected_style == style
               correct_style_detected
             else
               style_detected(detected_style)
@@ -112,6 +137,26 @@ def token_ranges(contents)
             yield(detected_style, token)
           end
         end
+
+        def collect_detections(node)
+          detections = []
+          tokens(node) do |detected_style, token_range|
+            unless unannotated_format?(node, detected_style)
+              detections << [detected_style, token_range]
+            end
+          end
+          detections
+        end
+
+        def allowed_unannotated?(detections)
+          return false if detections.size > max_unannotated_placeholders_allowed
+
+          detections.all? { |detected_style,| detected_style == :unannotated }
+        end
+
+        def max_unannotated_placeholders_allowed
+          cop_config['MaxUnannotatedPlaceholdersAllowed']
+        end
       end
     end
   end
diff --git a/spec/rubocop/cop/style/format_string_token_spec.rb b/spec/rubocop/cop/style/format_string_token_spec.rb
index 3b1e8bbaa5a..bb008c8bb15 100644
--- a/spec/rubocop/cop/style/format_string_token_spec.rb
+++ b/spec/rubocop/cop/style/format_string_token_spec.rb
@@ -6,10 +6,41 @@
   let(:cop_config) do
     {
       'EnforcedStyle' => enforced_style,
-      'SupportedStyles' => %i[annotated template unannotated]
+      'SupportedStyles' => %i[annotated template unannotated],
+      'MaxUnannotatedPlaceholdersAllowed' => 0
     }
   end
 
+  shared_examples 'maximum allowed unannotated' do |token|
+    context 'when MaxUnannotatedPlaceholdersAllowed is 1' do
+      before { cop_config['MaxUnannotatedPlaceholdersAllowed'] = 1 }
+
+      it 'does not register offenses for single unannotated' do
+        expect_no_offenses("format('%#{token}', foo)")
+      end
+
+      it 'registers offence for dual unannotated' do
+        expect_offense(<<~RUBY)
+          format('%#{token} %s', foo, bar)
+                  ^^ Prefer [...]
+                     ^^ Prefer [...]
+        RUBY
+      end
+    end
+
+    context 'when MaxUnannotatedPlaceholdersAllowed is 2' do
+      before { cop_config['MaxUnannotatedPlaceholdersAllowed'] = 2 }
+
+      it 'does not register offenses for single unannotated' do
+        expect_no_offenses("format('%#{token}', foo)")
+      end
+
+      it 'does not register offenses for dual unannotated' do
+        expect_no_offenses("format('%#{token} %s', foo, bar)")
+      end
+    end
+  end
+
   shared_examples 'enforced styles for format string tokens' do |token|
     template  = '%{template}'
     annotated = "%<named>#{token}"
@@ -54,6 +85,8 @@
           'EnforcedStyle' => 'template'
         )
       end
+
+      it_behaves_like 'maximum allowed unannotated', token
     end
 
     context 'when enforced style is template' do
@@ -96,6 +129,8 @@
           'EnforcedStyle' => 'template'
         )
       end
+
+      it_behaves_like 'maximum allowed unannotated', token
     end
   end