diff --git a/specs/composition/common/params/Composition.yml b/specs/composition/common/params/Composition.yml
index 8cb46cbb0b5..7bd078e96da 100644
--- a/specs/composition/common/params/Composition.yml
+++ b/specs/composition/common/params/Composition.yml
@@ -1,3 +1,23 @@
+# #########################
+# ### Category Faceting ###
+# #########################
+
+facets:
+  type: array
+  items:
+    type: string
+  description: |
+    Facets for which to retrieve facet values that match the search criteria and the number of matching facet values
+    To retrieve all facets, use the wildcard character `*`.
+    To retrieve disjunctive facets lists, annotate any facets with the `disjunctive` modifier.
+    For more information, see [facets](https://www.algolia.com/doc/guides/managing-results/refine-results/faceting/#contextual-facet-values-and-counts) and [disjunctive faceting for Smart Groups](https://www.algolia.com/doc/guides/managing-results/compositions/search-based-groups#facets-including-disjunctive-faceting).
+  default: []
+  example:
+    - ['category', 'disjunctive(brand)', 'price']
+    - ['*']
+  x-categories:
+    - Faceting
+
 # ######################
 # ### Category Rules ###
 # ######################
diff --git a/specs/composition/common/params/Search.yml b/specs/composition/common/params/Search.yml
index eadfae62605..b4f206325a5 100644
--- a/specs/composition/common/params/Search.yml
+++ b/specs/composition/common/params/Search.yml
@@ -70,9 +70,6 @@ enableRules:
 exactOnSingleWordQuery:
   $ref: '../../../common/schemas/IndexSettings.yml#/exactOnSingleWordQuery'
 
-facets:
-  $ref: '../../../common/schemas/SearchParams.yml#/baseSearchParamsWithoutQuery/properties/facets'
-
 facetFilters:
   $ref: '../../../common/schemas/SearchParams.yml#/facetFilters'
 
diff --git a/specs/composition/common/schemas/components/Injection.yml b/specs/composition/common/schemas/components/Injection.yml
index fd3d63d5f41..9bf595639b1 100644
--- a/specs/composition/common/schemas/components/Injection.yml
+++ b/specs/composition/common/schemas/components/Injection.yml
@@ -110,7 +110,7 @@ mainInjectionQueryParameters:
         facetingAfterDistinct:
           $ref: '../../params/Search.yml#/facetingAfterDistinct'
         facets:
-          $ref: '../../params/Search.yml#/facets'
+          $ref: '../../params/Composition.yml#/facets'
         hitsPerPage:
           $ref: '../../params/Search.yml#/hitsPerPage'
         maxValuesPerFacet:
diff --git a/specs/composition/common/schemas/requestBodies/RunParams.yml b/specs/composition/common/schemas/requestBodies/RunParams.yml
index d37c129dc2a..1234cf812dc 100644
--- a/specs/composition/common/schemas/requestBodies/RunParams.yml
+++ b/specs/composition/common/schemas/requestBodies/RunParams.yml
@@ -15,6 +15,8 @@ params:
       $ref: '../../params/Search.yml#/relevancyStrictness'
     facetFilters:
       $ref: '../../params/Search.yml#/facetFilters'
+    facets:
+      $ref: '../../params/Composition.yml#/facets'
     optionalFilters:
       $ref: '../../params/Search.yml#/optionalFilters'
     numericFilters: