diff --git a/.changelog/5676.fixed b/.changelog/5676.fixed
new file mode 100644
index 00000000000..149f94505f6
--- /dev/null
+++ b/.changelog/5676.fixed
@@ -0,0 +1 @@
+`opentelemetry-sdk`: count logs dropped by `SimpleLogRecordProcessor`'s recursion guard on `otel.sdk.processor.log.processed` with `error.type=recursion`
diff --git a/opentelemetry-sdk/src/opentelemetry/sdk/_logs/_internal/export/__init__.py b/opentelemetry-sdk/src/opentelemetry/sdk/_logs/_internal/export/__init__.py
index d6ff7717eff..55921e043db 100644
--- a/opentelemetry-sdk/src/opentelemetry/sdk/_logs/_internal/export/__init__.py
+++ b/opentelemetry-sdk/src/opentelemetry/sdk/_logs/_internal/export/__init__.py
@@ -208,6 +208,7 @@ def on_emit(self, log_record: ReadWriteLogRecord):
             _propagate_false_logger.warning(
                 "SimpleLogRecordProcessor.on_emit has entered a recursive loop. Dropping log and exiting the loop."
             )
+            self._metrics.drop_items(1, "recursion")
             return
         token = attach(
             set_value(
diff --git a/opentelemetry-sdk/src/opentelemetry/sdk/_shared_internal/_processor_metrics.py b/opentelemetry-sdk/src/opentelemetry/sdk/_shared_internal/_processor_metrics.py
index 699f7e1821c..aae2b14d967 100644
--- a/opentelemetry-sdk/src/opentelemetry/sdk/_shared_internal/_processor_metrics.py
+++ b/opentelemetry-sdk/src/opentelemetry/sdk/_shared_internal/_processor_metrics.py
@@ -76,6 +76,11 @@ def __init__(
             ERROR_TYPE: "already_shutdown",
         }
 
+        self._recursion_attrs = {
+            **self._standard_attrs,
+            ERROR_TYPE: "recursion",
+        }
+
         if signal == "traces":
             create_processed = create_otel_sdk_processor_span_processed
             create_queue_capacity = create_otel_sdk_processor_span_queue_capacity
@@ -114,6 +119,8 @@ def record_queue_size(
     def drop_items(self, count: int, error_type: str = "queue_full") -> None:
         if error_type == "already_shutdown":
             self._processed.add(count, self._already_shutdown_attrs)
+        elif error_type == "recursion":
+            self._processed.add(count, self._recursion_attrs)
         else:
             self._processed.add(count, self._dropped_attrs)
 
diff --git a/opentelemetry-sdk/tests/logs/test_export.py b/opentelemetry-sdk/tests/logs/test_export.py
index cc0b22d29c7..a3265772eff 100644
--- a/opentelemetry-sdk/tests/logs/test_export.py
+++ b/opentelemetry-sdk/tests/logs/test_export.py
@@ -95,6 +95,60 @@ def export(self, batch: Sequence[ReadableLogRecord]):
         finally:
             root_logger.removeHandler(handler)
 
+    @patch.dict("os.environ", {OTEL_PYTHON_SDK_INTERNAL_METRICS_ENABLED: "true"})
+    @mark.skipif(
+        (3, 13, 0) <= sys.version_info <= (3, 13, 5),
+        reason="This will fail on 3.13.5 due to https://github.com/python/cpython/pull/131812 which prevents the recursion from being detected.",
+    )
+    def test_metrics_recursive_loop(self):
+        metric_reader = InMemoryMetricReader()
+        meter_provider = MeterProvider(metric_readers=[metric_reader])
+
+        class Exporter(LogRecordExporter):
+            def shutdown(self):
+                pass
+
+            def force_flush(self, timeout_millis: int = 10_000) -> bool:
+                return True
+
+            def export(self, batch: Sequence[ReadableLogRecord]):
+                logger = logging.getLogger("any logger..")
+                logger.warning("Something happened.")
+
+        exporter = Exporter()
+        logger_provider = LoggerProvider()
+        logger_provider.add_log_record_processor(SimpleLogRecordProcessor(exporter, meter_provider=meter_provider))
+        root_logger = logging.getLogger()
+        handler = LoggingHandler(level=logging.DEBUG, logger_provider=logger_provider)
+        root_logger.addHandler(handler)
+        propagate_false_logger = logging.getLogger("opentelemetry.sdk._logs._internal.export.propagate.false")
+        try:
+            with self.assertLogs(propagate_false_logger) as cm:
+                root_logger.warning("hello!")
+            assert "SimpleLogRecordProcessor.on_emit has entered a recursive loop" in cm.output[0]
+        finally:
+            root_logger.removeHandler(handler)
+
+        metrics_data = metric_reader.get_metrics_data()
+        scope_metrics = metrics_data.resource_metrics[0].scope_metrics[0]
+        metrics = scope_metrics.metrics
+        self.assertEqual(len(metrics), 1)
+        self.assertEqual(metrics[0].name, "otel.sdk.processor.log.processed")
+        data_points = sorted(
+            metrics[0].data.data_points,
+            key=lambda dp: dp.attributes.get("error.type", ""),
+        )
+        # The record the recursion guard discards is counted as processed with
+        # error.type=recursion, so the total stays reconcilable with the number
+        # of records the processor accepted.
+        recursion_points = [dp for dp in data_points if dp.attributes.get("error.type") == "recursion"]
+        self.assertEqual(
+            len(recursion_points),
+            1,
+            "the log dropped by the recursion guard was not counted",
+        )
+        self.assertEqual(recursion_points[0].value, 1)
+
     def test_simple_log_record_processor_default_level(self):
         exporter = InMemoryLogRecordExporter()
         logger_provider = LoggerProvider()