diff --git a/docs/content/instrumenting/histogram.md b/docs/content/instrumenting/histogram.md
index fa0ffe1a..37916d3f 100644
--- a/docs/content/instrumenting/histogram.md
+++ b/docs/content/instrumenting/histogram.md
@@ -18,6 +18,10 @@ A Histogram exposes three time series per metric:
 - `<name>_sum` — sum of all observed values
 - `<name>_count` — total number of observations
 
+If the lowest bucket bound is negative, OpenMetrics 1.0 output leaves `_sum`
+out, because OpenMetrics 1.0 does not allow a sum for histograms with negative
+buckets. Other formats, including OpenMetrics 2.0, keep it.
+
 ## Constructor
 
 ```python
diff --git a/prometheus_client/metrics.py b/prometheus_client/metrics.py
index 79c3438c..a0ad9b92 100644
--- a/prometheus_client/metrics.py
+++ b/prometheus_client/metrics.py
@@ -712,8 +712,7 @@ def _child_samples(self) -> Iterable[Sample]:
             acc += self._buckets[i].get()
             samples.append(Sample('_bucket', {'le': floatToGoString(bound)}, acc, None, self._buckets[i].get_exemplar()))
         samples.append(Sample('_count', {}, acc, None, None))
-        if self._upper_bounds[0] >= 0:
-            samples.append(Sample('_sum', {}, self._sum.get(), None, None))
+        samples.append(Sample('_sum', {}, self._sum.get(), None, None))
         if _use_created:
             samples.append(Sample('_created', {}, self._created, None, None))
         return tuple(samples)
diff --git a/prometheus_client/openmetrics/exposition.py b/prometheus_client/openmetrics/exposition.py
index 5d276e2f..05054f25 100644
--- a/prometheus_client/openmetrics/exposition.py
+++ b/prometheus_client/openmetrics/exposition.py
@@ -66,7 +66,16 @@ def generate_latest(registry, escaping=UNDERSCORES, version="1.0.0"):
             output.append(f'# TYPE {escape_metric_name(mname, escaping)} {metric.type}\n')
             if metric.unit:
                 output.append(f'# UNIT {escape_metric_name(mname, escaping)} {metric.unit}\n')
+            # OpenMetrics 1.0 doesn't allow _sum on a histogram with negative buckets.
+            negative_bucket_labels = set()
+            if metric.type == 'histogram' and parse_version(version) < (2, 0, 0):
+                for s in metric.samples:
+                    if s.name == mname + '_bucket' and float(s.labels['le']) < 0:
+                        negative_bucket_labels.add(frozenset((k, v) for k, v in s.labels.items() if k != 'le'))
             for s in metric.samples:
+                if (negative_bucket_labels and s.name == mname + '_sum'
+                        and frozenset(s.labels.items()) in negative_bucket_labels):
+                    continue
                 if escaping == ALLOWUTF8 and not _is_valid_legacy_metric_name(s.name):
                     labelstr = escape_metric_name(s.name, escaping)
                     if s.labels:
diff --git a/tests/openmetrics/test_exposition.py b/tests/openmetrics/test_exposition.py
index 5abc0423..d998fc0c 100644
--- a/tests/openmetrics/test_exposition.py
+++ b/tests/openmetrics/test_exposition.py
@@ -318,6 +318,19 @@ def test_histogram_negative_buckets(self) -> None:
 hh_count 1.0
 hh_created 123.456
 # EOF
+""", generate_latest(self.registry, version="1.0.0"))
+        self.assertEqual(b"""# HELP hh A histogram
+# TYPE hh histogram
+hh_bucket{le="-1.0"} 0.0
+hh_bucket{le="-0.5"} 1.0
+hh_bucket{le="0.0"} 1.0
+hh_bucket{le="0.5"} 1.0
+hh_bucket{le="1.0"} 1.0
+hh_bucket{le="+Inf"} 1.0
+hh_count 1.0
+hh_sum -0.5
+hh_created 123.456
+# EOF
 """, generate_latest(self.registry, version="2.0.0"))
 
     def test_histogram_exemplar(self) -> None:
diff --git a/tests/test_multiprocess.py b/tests/test_multiprocess.py
index c0acfadd..9a9efeda 100644
--- a/tests/test_multiprocess.py
+++ b/tests/test_multiprocess.py
@@ -15,6 +15,8 @@
 from prometheus_client.multiprocess import (
     mark_process_dead, MultiProcessCollector,
 )
+from prometheus_client.openmetrics.exposition import \
+    generate_latest as openmetrics_generate_latest
 from prometheus_client.values import (
     get_value_class, MultiProcessValue, MutexValue,
 )
@@ -123,6 +125,21 @@ def test_histogram_nan(self):
         self.assertEqual(2, self.registry.get_sample_value('h_count'))
         self.assertTrue(math.isnan(self.registry.get_sample_value('h_sum')))
 
+    def test_histogram_negative_buckets(self):
+        h1 = Histogram('h', 'help', labelnames=['l'], buckets=[-1, 0, 1], registry=None)
+        values.ValueClass = MultiProcessValue(lambda: 456)
+        h2 = Histogram('h', 'help', labelnames=['l'], buckets=[-1, 0, 1], registry=None)
+        h1.labels('x').observe(-0.5)
+        h2.labels('x').observe(2)
+
+        self.assertEqual(1, self.registry.get_sample_value('h_bucket', {'l': 'x', 'le': '0.0'}))
+        self.assertEqual(2, self.registry.get_sample_value('h_bucket', {'l': 'x', 'le': '+Inf'}))
+        self.assertEqual(2, self.registry.get_sample_value('h_count', {'l': 'x'}))
+        self.assertEqual(1.5, self.registry.get_sample_value('h_sum', {'l': 'x'}))
+        # OpenMetrics 1.0 doesn't allow _sum with negative buckets, 2.0 does.
+        self.assertNotIn(b'h_sum', openmetrics_generate_latest(self.registry, version='1.0.0'))
+        self.assertIn(b'h_sum{l="x"} 1.5', openmetrics_generate_latest(self.registry, version='2.0.0'))
+
     def test_gauge_all(self):
         g1 = Gauge('g', 'help', registry=None)
         values.ValueClass = MultiProcessValue(lambda: 456)