diff --git a/spec/API_specification/type_promotion.rst b/spec/API_specification/type_promotion.rst
index d30f6517c..b742ee422 100644
--- a/spec/API_specification/type_promotion.rst
+++ b/spec/API_specification/type_promotion.rst
@@ -89,18 +89,27 @@ Mixed unsigned and signed integer type promotion table
 Floating-point type promotion table
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 
-+--------+----+----+
-|        | f4 | f8 |
-+========+====+====+
-| **f4** | f4 | f8 |
-+--------+----+----+
-| **f8** | f8 | f8 |
-+--------+----+----+
++---------+-----+-----+-----+-----+
+|         |  f4 |  f8 |  c8 | c16 |
++=========+=====+=====+=====+=====+
+| **f4**  |  f4 |  f8 |  c8 | c16 |
++---------+-----+-----+-----+-----+
+| **f8**  |  f8 |  f8 | c16 | c16 |
++---------+-----+-----+-----+-----+
+| **c8**  |  c8 | c16 |  c8 | c16 |
++---------+-----+-----+-----+-----+
+| **c16** | c16 | c16 | c16 | c16 |
++---------+-----+-----+-----+-----+
 
 where
 
 -   **f4**: single-precision (32-bit) floating-point number (i.e., ``float32``)
 -   **f8**: double-precision (64-bit) floating-point number (i.e., ``float64``)
+-   **c8**: single-precision complex floating-point number (i.e., ``complex64``)
+    composed of two single-precision (32-bit) floating-point numbers
+-   **c16**: double-precision complex floating-point number (i.e., ``complex128``)
+    composed of two double-precision (64-bit) floating-point numbers
+
 
 Notes
 ~~~~~
diff --git a/spec/_static/images/dtype_promotion_complex.png b/spec/_static/images/dtype_promotion_complex.png
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diff --git a/spec/_static/images/dtype_promotion_lattice.png b/spec/_static/images/dtype_promotion_lattice.png
index 669d30476..4d384ac15 100644
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