diff --git a/unyt/array.py b/unyt/array.py
index 9e4ef409..6cd924cc 100644
--- a/unyt/array.py
+++ b/unyt/array.py
@@ -1099,6 +1099,24 @@ def to_ndarray(self):
         """
         return np.array(self)
 
+    def argsort(self, axis=-1, kind='quicksort', order=None):
+        """
+        Returns the indices that would sort the array.
+
+        See the documentation of ndarray.argsort for details about the keyword
+        arguments.
+
+        Example
+        -------
+        >>> from unyt import km
+        >>> data = [3, 8, 7]*km
+        >>> print(np.argsort(data))
+        [0 2 1]
+        >>> print(data.argsort())
+        [0 2 1]
+        """
+        return self.view(np.ndarray).argsort(axis, kind, order)
+
     @classmethod
     def from_astropy(cls, arr, unit_registry=None):
         """