diff --git a/Tests/LibWeb/Text/expected/HTML/set-outerHTML.txt b/Tests/LibWeb/Text/expected/HTML/set-outerHTML.txt
new file mode 100644
index 00000000000..180ebb256ba
--- /dev/null
+++ b/Tests/LibWeb/Text/expected/HTML/set-outerHTML.txt
@@ -0,0 +1,4 @@
+Changed box.  
+oldBox='<p>A box.</p>'
+newBox='<p>Changed box.</p>'
+NoModificationAllowedError: Cannot set outer HTML on document
diff --git a/Tests/LibWeb/Text/input/HTML/set-outerHTML.html b/Tests/LibWeb/Text/input/HTML/set-outerHTML.html
new file mode 100644
index 00000000000..3a6185ecbb7
--- /dev/null
+++ b/Tests/LibWeb/Text/input/HTML/set-outerHTML.html
@@ -0,0 +1,20 @@
+<script src="../include.js"></script>
+<div id="oldBox"><p>A box.</p></div>
+<script>
+    test(() => {
+        let oldElement = document.getElementById("oldBox");
+        println('');
+        println(`${oldElement.id}='${oldElement.innerHTML}'`);
+
+        oldElement.outerHTML = '<div id="newBox"><p>Changed box.</p></div>';
+
+        let newElement = document.getElementById("newBox");
+        println(`${newElement.id}='${newElement.innerHTML}'`);
+
+        try {
+            document.documentElement.outerHTML = 'should throw exception!';
+        } catch (e) {
+            println(e);
+        }
+    });
+</script>
diff --git a/Userland/Libraries/LibWeb/DOM/Element.cpp b/Userland/Libraries/LibWeb/DOM/Element.cpp
index 4c76d1dca5a..8e5455b1bf4 100644
--- a/Userland/Libraries/LibWeb/DOM/Element.cpp
+++ b/Userland/Libraries/LibWeb/DOM/Element.cpp
@@ -23,6 +23,7 @@
 #include <LibWeb/DOM/DOMTokenList.h>
 #include <LibWeb/DOM/Document.h>
 #include <LibWeb/DOM/Element.h>
+#include <LibWeb/DOM/ElementFactory.h>
 #include <LibWeb/DOM/HTMLCollection.h>
 #include <LibWeb/DOM/NamedNodeMap.h>
 #include <LibWeb/DOM/ShadowRoot.h>
@@ -1425,9 +1426,29 @@ WebIDL::ExceptionOr<String> Element::outer_html() const
 }
 
 // https://html.spec.whatwg.org/multipage/dynamic-markup-insertion.html#dom-element-outerhtml
-WebIDL::ExceptionOr<void> Element::set_outer_html(String const&)
+WebIDL::ExceptionOr<void> Element::set_outer_html(String const& value)
 {
-    dbgln("FIXME: Implement Element::set_outer_html()");
+    // 1. Let parent be this's parent.
+    auto* parent = this->parent();
+
+    // 2. If parent is null, return. There would be no way to obtain a reference to the nodes created even if the remaining steps were run.
+    if (!parent)
+        return {};
+
+    // 3. If parent is a Document, throw a "NoModificationAllowedError" DOMException.
+    if (parent->is_document())
+        return WebIDL::NoModificationAllowedError::create(realm(), "Cannot set outer HTML on document"_fly_string);
+
+    // 4. If parent is a DocumentFragment, set parent to the result of creating an element given this's node document, body, and the HTML namespace.
+    if (parent->is_document_fragment())
+        parent = TRY(create_element(document(), HTML::TagNames::body, Namespace::HTML));
+
+    // 5. Let fragment be the result of invoking the fragment parsing algorithm steps given parent and the given value.
+    auto fragment = TRY(DOMParsing::parse_fragment(value, verify_cast<Element>(*parent)));
+
+    // 6. Replace this with fragment within this's parent.
+    TRY(parent->replace_child(fragment, *this));
+
     return {};
 }