diff --git a/spacy/matcher/dependencymatcher.pyx b/spacy/matcher/dependencymatcher.pyx
index 74c2d002f..adf96702b 100644
--- a/spacy/matcher/dependencymatcher.pyx
+++ b/spacy/matcher/dependencymatcher.pyx
@@ -82,8 +82,12 @@ cdef class DependencyMatcher:
             "$-": self._imm_left_sib,
             "$++": self._right_sib,
             "$--": self._left_sib,
+            ">+": self._imm_right_child,
+            ">-": self._imm_left_child,
             ">++": self._right_child,
             ">--": self._left_child,
+            "<+": self._imm_right_parent,
+            "<-": self._imm_left_parent,
             "<++": self._right_parent,
             "<--": self._left_parent,
         }
@@ -427,12 +431,34 @@ cdef class DependencyMatcher:
     def _left_sib(self, doc, node):
         return [doc[child.i] for child in doc[node].head.children if child.i < node]
 
+    def _imm_right_child(self, doc, node):
+        for child in doc[node].children:
+            if child.i == node + 1:
+                return [doc[child.i]]
+        return []
+
+    def _imm_left_child(self, doc, node):
+        for child in doc[node].children:
+            if child.i == node - 1:
+                return [doc[child.i]]
+        return []
+
     def _right_child(self, doc, node):
         return [doc[child.i] for child in doc[node].children if child.i > node]
     
     def _left_child(self, doc, node):
         return [doc[child.i] for child in doc[node].children if child.i < node]
 
+    def _imm_right_parent(self, doc, node):
+        if doc[node].head.i == node + 1:
+            return [doc[node].head]
+        return []
+
+    def _imm_left_parent(self, doc, node):
+        if doc[node].head.i == node - 1:
+            return [doc[node].head]
+        return []
+
     def _right_parent(self, doc, node):
         if doc[node].head.i > node:
             return [doc[node].head]
diff --git a/spacy/tests/matcher/test_dependency_matcher.py b/spacy/tests/matcher/test_dependency_matcher.py
index b4e19d69d..200384320 100644
--- a/spacy/tests/matcher/test_dependency_matcher.py
+++ b/spacy/tests/matcher/test_dependency_matcher.py
@@ -316,16 +316,32 @@ def test_dependency_matcher_precedence_ops(en_vocab, op, num_matches):
         ("the", "brown", "$--", 0),
         ("brown", "the", "$--", 1),
         ("brown", "brown", "$--", 0),
+        ("over", "jumped", "<+", 0),
+        ("quick", "fox", "<+", 0),
+        ("the", "quick", "<+", 0),
+        ("brown", "fox", "<+", 1),
         ("quick", "fox", "<++", 1),
         ("quick", "over", "<++", 0),
         ("over", "jumped", "<++", 0),
         ("the", "fox", "<++", 2),
+        ("brown", "fox", "<-", 0),
+        ("fox", "over", "<-", 0),
+        ("the", "over", "<-", 0),
+        ("over", "jumped", "<-", 1),
         ("brown", "fox", "<--", 0),
         ("fox", "jumped", "<--", 0),
         ("fox", "over", "<--", 1),
+        ("fox", "brown", ">+", 0),
+        ("over", "fox", ">+", 0),
+        ("over", "the", ">+", 0),
+        ("jumped", "over", ">+", 1),
         ("jumped", "over", ">++", 1),
         ("fox", "lazy", ">++", 0),
         ("over", "the", ">++", 0),
+        ("jumped", "over", ">-", 0),
+        ("fox", "quick", ">-", 0),
+        ("brown", "quick", ">-", 0),
+        ("fox", "brown", ">-", 1),
         ("brown", "fox", ">--", 0),
         ("fox", "brown", ">--", 1),
         ("jumped", "fox", ">--", 1),
diff --git a/website/docs/api/dependencymatcher.mdx b/website/docs/api/dependencymatcher.mdx
index 390034a6c..cad5185f7 100644
--- a/website/docs/api/dependencymatcher.mdx
+++ b/website/docs/api/dependencymatcher.mdx
@@ -82,8 +82,12 @@ come directly from
 | `A $- B`  | `B` is a left immediate sibling of `A`, i.e. `A` and `B` have the same parent and `A.i == B.i + 1`.                  |
 | `A $++ B` | `B` is a right sibling of `A`, i.e. `A` and `B` have the same parent and `A.i < B.i`.                                |
 | `A $-- B` | `B` is a left sibling of `A`, i.e. `A` and `B` have the same parent and `A.i > B.i`.                                 |
+| `A >+ B` | `B` is a right immediate child of `A`, i.e. `A` is a parent of `B` and `A.i == B.i - 1` _(not in Semgrex)_.           |
+| `A >- B` | `B` is a left immediate child of `A`, i.e. `A` is a parent of `B` and `A.i == B.i + 1` _(not in Semgrex)_.            |
 | `A >++ B` | `B` is a right child of `A`, i.e. `A` is a parent of `B` and `A.i < B.i` _(not in Semgrex)_.                         |
 | `A >-- B` | `B` is a left child of `A`, i.e. `A` is a parent of `B` and `A.i > B.i` _(not in Semgrex)_.                          |
+| `A <+ B` | `B` is a right immediate parent of `A`, i.e. `A` is a child of `B` and `A.i == B.i - 1` _(not in Semgrex)_.           |
+| `A <- B` | `B` is a left immediate parent of `A`, i.e. `A` is a child of `B` and `A.i == B.i + 1` _(not in Semgrex)_.            |
 | `A <++ B` | `B` is a right parent of `A`, i.e. `A` is a child of `B` and `A.i < B.i` _(not in Semgrex)_.                         |
 | `A <-- B` | `B` is a left parent of `A`, i.e. `A` is a child of `B` and `A.i > B.i` _(not in Semgrex)_.                          |
 
diff --git a/website/docs/usage/rule-based-matching.mdx b/website/docs/usage/rule-based-matching.mdx
index 628c2953f..6a11ac8bd 100644
--- a/website/docs/usage/rule-based-matching.mdx
+++ b/website/docs/usage/rule-based-matching.mdx
@@ -1110,6 +1110,14 @@ come directly from
 | `A $- B`  | `B` is a left immediate sibling of `A`, i.e. `A` and `B` have the same parent and `A.i == B.i + 1`.                  |
 | `A $++ B` | `B` is a right sibling of `A`, i.e. `A` and `B` have the same parent and `A.i < B.i`.                                |
 | `A $-- B` | `B` is a left sibling of `A`, i.e. `A` and `B` have the same parent and `A.i > B.i`.                                 |
+| `A >+ B` | `B` is a right immediate child of `A`, i.e. `A` is a parent of `B` and `A.i == B.i - 1` _(not in Semgrex)_.           |
+| `A >- B` | `B` is a left immediate child of `A`, i.e. `A` is a parent of `B` and `A.i == B.i + 1` _(not in Semgrex)_.            |
+| `A >++ B` | `B` is a right child of `A`, i.e. `A` is a parent of `B` and `A.i < B.i` _(not in Semgrex)_.                         |
+| `A >-- B` | `B` is a left child of `A`, i.e. `A` is a parent of `B` and `A.i > B.i` _(not in Semgrex)_.                          |
+| `A <+ B` | `B` is a right immediate parent of `A`, i.e. `A` is a child of `B` and `A.i == B.i - 1` _(not in Semgrex)_.           |
+| `A <- B` | `B` is a left immediate parent of `A`, i.e. `A` is a child of `B` and `A.i == B.i + 1` _(not in Semgrex)_.            |
+| `A <++ B` | `B` is a right parent of `A`, i.e. `A` is a child of `B` and `A.i < B.i` _(not in Semgrex)_.                         |
+| `A <-- B` | `B` is a left parent of `A`, i.e. `A` is a child of `B` and `A.i > B.i` _(not in Semgrex)_.                          |
 
 ### Designing dependency matcher patterns {id="dependencymatcher-patterns"}