diff --git a/CHANGELOG.txt b/CHANGELOG.txt
index d505096..fc8d8e0 100644
--- a/CHANGELOG.txt
+++ b/CHANGELOG.txt
@@ -6,6 +6,7 @@
 * Added type annotations for public API and `py.typed` marker (PEP 561)
 * Added `message` to `JsonSchemaValuesException` joining messages of all collected errors
 * Fixed the `date-time` format accepting months, days and hours out of range (such as `2020-19-39T29:00:00Z`) and rejecting a leap second (`23:59:60Z`)
+* Fixed the `date` and `date-time` formats accepting days that do not exist in their month, such as `2021-02-29` and `2021-04-31`
 * Fixed the `time` format accepting hours, minutes, seconds and offsets out of range (such as `29:99:99`)
 
 === 2.22.2 (2026-08-15)
diff --git a/fastjsonschema/draft04.py b/fastjsonschema/draft04.py
index d86c592..0343e12 100644
--- a/fastjsonschema/draft04.py
+++ b/fastjsonschema/draft04.py
@@ -18,6 +18,13 @@
 DOLLAR_FINDER = re.compile(r"(?<!\\)\$")  # Finds any un-escaped $ (including inside []-sets)
 
 
+# Calendar date: the day must exist in its month, and 29 February only in a leap year.
+DATE_REGEX = (
+    r'\d{4}-(?:(?:0[13578]|1[02])-(?:0[1-9]|[12]\d|3[01])|(?:0[469]|11)-(?:0[1-9]|[12]\d|30)|02-(?:0[1-9]|1\d|2[0-8]))'
+    r'|(?:\d\d(?:0[48]|[2468][048]|[13579][26])|(?:[02468][048]|[13579][26])00)-02-29'
+)
+
+
 # pylint: disable=too-many-instance-attributes,too-many-public-methods
 class CodeGeneratorDraft04(CodeGenerator):
     # pylint: disable=line-too-long
@@ -26,7 +33,7 @@ class CodeGeneratorDraft04(CodeGenerator):
     # vs. 9 ms with a regex! Other modules are also ineffective or not available in standard
     # library. Some regexps are not 100% precise but good enough, fast and without dependencies.
     FORMAT_REGEXS = {
-        'date-time': r'^\d{4}-(?:0[1-9]|1[0-2])-(?:0[1-9]|[12]\d|3[01])(t|T)(?:[01]\d|2[0-3]):[0-5]\d:(?:[0-5]\d|60)(?:\.\d+)?(?:[+-](?:[01]\d|2[0-3]):[0-5]\d|[+-](?:[01]\d|2[0-3])[0-5]\d|z|Z)\Z',
+        'date-time': r'^(?:' + DATE_REGEX + r')(t|T)(?:[01]\d|2[0-3]):[0-5]\d:(?:[0-5]\d|60)(?:\.\d+)?(?:[+-](?:[01]\d|2[0-3]):[0-5]\d|[+-](?:[01]\d|2[0-3])[0-5]\d|z|Z)\Z',
         'email': r'^(?!.*\.\..*@)[^@.][^@]*(?<!\.)@[^@]+\.[^@]+\Z',
         'hostname': r'^(([a-zA-Z0-9]|[a-zA-Z0-9][a-zA-Z0-9\-]{0,61}[a-zA-Z0-9])\.)*([A-Za-z0-9]|[A-Za-z0-9][A-Za-z0-9\-]{0,61}[A-Za-z0-9])\Z',
         'ipv4': r'^((25[0-5]|2[0-4][0-9]|1[0-9][0-9]|[1-9]?[0-9])\.){3}(25[0-5]|2[0-4][0-9]|1[0-9][0-9]|[1-9]?[0-9])\Z',
diff --git a/fastjsonschema/draft07.py b/fastjsonschema/draft07.py
index c881d23..86476e7 100644
--- a/fastjsonschema/draft07.py
+++ b/fastjsonschema/draft07.py
@@ -1,10 +1,11 @@
+from .draft04 import DATE_REGEX
 from .draft06 import CodeGeneratorDraft06
 from .generator import VALIDATION_EXCEPTIONS
 
 
 class CodeGeneratorDraft07(CodeGeneratorDraft06):
     FORMAT_REGEXS = dict(CodeGeneratorDraft06.FORMAT_REGEXS, **{
-        'date': r'^(?P<year>\d{4})-(?P<month>(0[1-9]|1[0-2]))-(?P<day>(0[1-9]|[12]\d|3[01]))\Z',
+        'date': r'^(?:' + DATE_REGEX + r')\Z',
         'iri': r'^\w+:(\/?\/?)[^\s]+\Z',
         'iri-reference': r'^(\w+:(\/?\/?))?[^#\\\s]*(#[^\\\s]*)?\Z',
         'idn-email': r'^[^@]+@[^@]+\.[^@]+\Z',
diff --git a/tests/test_format.py b/tests/test_format.py
index 637d500..10b6257 100644
--- a/tests/test_format.py
+++ b/tests/test_format.py
@@ -28,6 +28,11 @@
     ('2020-01-01T01:01:61Z', exc),
     ('2020-01-01T01:01:01+24:00', exc),
     ('2020-01-01T01:01:01+01:60', exc),
+    ('2020-02-30T01:01:01Z', exc),
+    ('2021-02-29T01:01:01Z', exc),
+    ('2021-04-31T01:01:01Z', exc),
+    ('2020-02-29T01:01:01Z', '2020-02-29T01:01:01Z'),
+    ('2021-04-30T01:01:01Z', '2021-04-30T01:01:01Z'),
 ])
 def test_datetime(asserter, value, expected):
     asserter({'type': 'string', 'format': 'date-time'}, value, expected)
@@ -81,6 +86,20 @@ def test_time(asserter, value, expected):
     ('2018-2-5', exc),
     ('2018-02-05', '2018-02-05'),
     ('2018-10-31', '2018-10-31'),
+    ('2018-02-29', exc),
+    ('2018-02-30', exc),
+    ('2018-04-31', exc),
+    ('2018-06-31', exc),
+    ('2018-09-31', exc),
+    ('2018-11-31', exc),
+    ('1900-02-29', exc),
+    ('2100-02-29', exc),
+    ('2020-02-29', '2020-02-29'),
+    ('2000-02-29', '2000-02-29'),
+    ('2400-02-29', '2400-02-29'),
+    ('2018-02-28', '2018-02-28'),
+    ('2018-04-30', '2018-04-30'),
+    ('2018-12-31', '2018-12-31'),
 ])
 def test_date(asserter, value, expected):
     asserter({