diff --git a/dbt/adapters/base/impl.py b/dbt/adapters/base/impl.py
index ec590137..9ee8e59c 100644
--- a/dbt/adapters/base/impl.py
+++ b/dbt/adapters/base/impl.py
@@ -1602,8 +1602,11 @@ def render_column_constraint(cls, constraint: ColumnLevelConstraint) -> Optional
             rendered_column_constraint = f"unique {constraint_expression}"
         elif constraint.type == ConstraintType.primary_key:
             rendered_column_constraint = f"primary key {constraint_expression}"
-        elif constraint.type == ConstraintType.foreign_key and constraint_expression:
-            rendered_column_constraint = f"references {constraint_expression}"
+        elif constraint.type == ConstraintType.foreign_key:
+            if constraint.constraint_expression:
+                rendered_column_constraint = f"references {constraint_expression}"
+            elif constraint.to and constraint.to_columns:
+                rendered_column_constraint = f"references {constraint.to}({','.join(constraint.to_columns)})"
         elif constraint.type == ConstraintType.custom and constraint_expression:
             rendered_column_constraint = constraint_expression
 
@@ -1690,8 +1693,11 @@ def render_model_constraint(cls, constraint: ModelLevelConstraint) -> Optional[s
         elif constraint.type == ConstraintType.primary_key:
             constraint_expression = f" {constraint.expression}" if constraint.expression else ""
             return f"{constraint_prefix}primary key{constraint_expression} ({column_list})"
-        elif constraint.type == ConstraintType.foreign_key and constraint.expression:
-            return f"{constraint_prefix}foreign key ({column_list}) references {constraint.expression}"
+        elif constraint.type == ConstraintType.foreign_key:
+            if constraint.constraint_expression:
+                return f"{constraint_prefix}foreign key ({column_list}) references {constraint.expression}"
+            elif constraint.to and constraint.to_columns:
+                return f"{constraint_prefix}foreign key ({column_list}) references {constraint.to}({','.join(constraint.to_columns)})"
         elif constraint.type == ConstraintType.custom and constraint.expression:
             return f"{constraint_prefix}{constraint.expression}"
         else:
diff --git a/pyproject.toml b/pyproject.toml
index e50aa63a..488bd659 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -57,7 +57,7 @@ include = ["dbt/adapters", "dbt/include", "dbt/__init__.py"]
 
 [tool.hatch.envs.default]
 dependencies = [
-    "dbt_common @ git+https://github.com/dbt-labs/dbt-common.git",
+    "dbt_common @ git+https://github.com/dbt-labs/dbt-common.git@foreign-ref-column-constraint",
     'pre-commit==3.7.0;python_version>="3.9"',
     'pre-commit==3.5.0;python_version=="3.8"',
 ]
@@ -67,7 +67,7 @@ code-quality = "pre-commit run --all-files"
 
 [tool.hatch.envs.unit-tests]
 dependencies = [
-    "dbt_common @ git+https://github.com/dbt-labs/dbt-common.git",
+    "dbt_common @ git+https://github.com/dbt-labs/dbt-common.git@foreign-ref-column-constraint",
     "pytest",
     "pytest-dotenv",
     "pytest-xdist",