diff --git a/conda_build/metadata.py b/conda_build/metadata.py
index 2b8443e68c..aac77da298 100644
--- a/conda_build/metadata.py
+++ b/conda_build/metadata.py
@@ -566,7 +566,10 @@ def parse(data, config, path=None):
         "url": None,
         "md5": str,
         "sha1": None,
+        "sha224": None,
         "sha256": None,
+        "sha384": None,
+        "sha512": None,
         "path": str,
         "path_via_symlink": None,
         "git_url": str,
diff --git a/conda_build/source.py b/conda_build/source.py
index dd601d2485..936f4fa771 100644
--- a/conda_build/source.py
+++ b/conda_build/source.py
@@ -48,6 +48,9 @@
 ext_re = re.compile(r"(.*?)(\.(?:tar\.)?[^.]+)$")
 
 
+ACCEPTED_HASH_TYPES = ("md5", "sha1", "sha224", "sha256", "sha384", "sha512")
+
+
 def append_hash_to_fn(fn, hash_value):
     return ext_re.sub(rf"\1_{hash_value[:10]}\2", fn)
 
@@ -66,16 +69,16 @@ def download_to_cache(cache_folder, recipe_path, source_dict, verbose=False):
         source_dict["fn"] if "fn" in source_dict else basename(source_urls[0])
     )
     hash_added = False
-    for hash_type in ("md5", "sha1", "sha256"):
-        if hash_type in source_dict:
-            if source_dict[hash_type] in (None, ""):
-                raise ValueError(f"Empty {hash_type} hash provided for {fn}")
-            fn = append_hash_to_fn(fn, source_dict[hash_type])
-            hash_added = True
-            break
+
+    for hash_type in sorted(set(source_dict).intersection(ACCEPTED_HASH_TYPES)):
+        if source_dict[hash_type] in (None, ""):
+            raise ValueError(f"Empty {hash_type} hash provided for {fn}")
+        fn = append_hash_to_fn(fn, source_dict[hash_type])
+        hash_added = True
+        break
     else:
         log.warning(
-            f"No hash (md5, sha1, sha256) provided for {unhashed_fn}.  Source download forced.  "
+            f"No hash {ACCEPTED_HASH_TYPES} provided for {unhashed_fn}.  Source download forced.  "
             "Add hash to recipe to use source cache."
         )
     path = join(cache_folder, fn)
@@ -116,16 +119,16 @@ def download_to_cache(cache_folder, recipe_path, source_dict, verbose=False):
             raise RuntimeError(f"Could not download {url}")
 
     hashed = None
-    for tp in ("md5", "sha1", "sha256"):
-        if tp in source_dict:
-            expected_hash = source_dict[tp]
-            hashed = compute_sum(path, tp)
+
+    for hash_type in set(source_dict).intersection(ACCEPTED_HASH_TYPES):
+        if hash_type in source_dict:
+            expected_hash = source_dict[hash_type]
+            hashed = compute_sum(path, hash_type)
             if expected_hash != hashed:
                 rm_rf(path)
                 raise RuntimeError(
-                    f"{tp.upper()} mismatch: '{hashed}' != '{expected_hash}'"
+                    f"{hash_type.upper()} mismatch: '{hashed}' != '{expected_hash}'"
                 )
-            break
 
     # this is really a fallback.  If people don't provide the hash, we still need to prevent
     #    collisions in our source cache, but the end user will get no benefit from the cache.
diff --git a/docs/source/resources/define-metadata.rst b/docs/source/resources/define-metadata.rst
index 06cc7234cb..1b2ab6167f 100644
--- a/docs/source/resources/define-metadata.rst
+++ b/docs/source/resources/define-metadata.rst
@@ -110,7 +110,10 @@ Source from tarball or zip archive
      url: https://pypi.python.org/packages/source/b/bsdiff4/bsdiff4-1.1.4.tar.gz
      md5: 29f6089290505fc1a852e176bd276c43
      sha1: f0a2c9a30073449cfb7d171c57552f3109d93894
+     sha224: ebf3e3b54353146ca21128ed6399739663a1256a223f438ed0223845
      sha256: 5a022ff4c1d1de87232b1c70bde50afbb98212fd246be4a867d8737173cf1f8f
+     sha384: 23eee6ee2e5d1054780e331857589bfba098255a88ae4edd47102fce676694ce0f543dc5c0d27c51f77cc4546d4e74c0
+     sha512: b968c7dc99132252a83b175a96ec75ec842edf9e2494db2c07b419e61a0b1cf6984e7c544452f9ab56aa8581caf966c0f6933fc22a071ccc4fbb5d22b363fe54
 
 If an extracted archive contains only 1 folder at its top level, its contents
 will be moved 1 level up, so that the extracted package contents sit in the
diff --git a/news/4793-support-sha224-sha384-and-sha512 b/news/4793-support-sha224-sha384-and-sha512
new file mode 100644
index 0000000000..efc63160a9
--- /dev/null
+++ b/news/4793-support-sha224-sha384-and-sha512
@@ -0,0 +1,19 @@
+### Enhancements
+
+* Added SHA224, SHA384 and SHA512 support for validating downloaded sources. (#4793)
+
+### Bug fixes
+
+* Verify all source hashes when multiple are defined (not just the first one). (#4793)
+
+### Deprecations
+
+* <news item>
+
+### Docs
+
+* <news item>
+
+### Other
+
+* <news item>
diff --git a/tests/test-recipes/metadata/source_url/meta.yaml b/tests/test-recipes/metadata/source_url/meta.yaml
index e8fc55dad7..7056ca487b 100644
--- a/tests/test-recipes/metadata/source_url/meta.yaml
+++ b/tests/test-recipes/metadata/source_url/meta.yaml
@@ -7,7 +7,10 @@ source:
   url: https://github.com/conda/conda-build/archive/1.8.1.tar.gz
   md5: 0bf1f3598a659a0e8fb5ee6bbb3fd9fd
   sha1: c464a8995ad6bbf0480abd2883876cc9b4913fa7
+  sha224: 96d76b37dcc8c28577ae5776e3aa3eb3b057af60983ce4005bbd3d61
   sha256: f82b0bd5c809c9a7c7256c26364a0065e57732788b7a74c7ea2169135ed2f598
+  sha384: 5b407afd0c41028bd2443b13a1e34092053452db9e1872eed427f9a6042626837d16f0268568e8e54a07d173a3c80e6b
+  sha512: 6bf7d22fc65c111402d22fd27bbcf7ea36eec03efded33ece74a54bf30f0cb87b6f31b789276e990dd6e9e41ac78739eac8c6b2954144096ccf0bb2ec1cc4fd7
 
 requirements:
   build: