diff --git a/CHANGELOG.md b/CHANGELOG.md
index 263a66310853..b937433b83d7 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -36,6 +36,7 @@
 - `nginxreceiver`: Include nginxreceiver in components (#9572)
 - `pkg/translator/prometheusremotewrite`: Fix data race when used with other exporters (#9736)
 - `examples/demo`: fix baggage not work in trace demo app. (#9418)
+- `prometheusreceiver`: Handle the condition where `up` metric value is NaN (#9253)
 
 ## v0.50.0
 
diff --git a/receiver/prometheusreceiver/internal/otlp_metricsbuilder.go b/receiver/prometheusreceiver/internal/otlp_metricsbuilder.go
index 346173f34611..06d699d855f1 100644
--- a/receiver/prometheusreceiver/internal/otlp_metricsbuilder.go
+++ b/receiver/prometheusreceiver/internal/otlp_metricsbuilder.go
@@ -23,6 +23,7 @@ import (
 	"github.com/prometheus/common/model"
 	"github.com/prometheus/prometheus/model/labels"
 	"github.com/prometheus/prometheus/model/textparse"
+	"github.com/prometheus/prometheus/model/value"
 	"go.opentelemetry.io/collector/pdata/pmetric"
 	"go.uber.org/zap"
 )
@@ -154,7 +155,8 @@ func (b *metricBuilderPdata) AddDataPoint(ls labels.Labels, t int64, v float64)
 		lm := ls.Map()
 		// See https://www.prometheus.io/docs/concepts/jobs_instances/#automatically-generated-labels-and-time-series
 		// up: 1 if the instance is healthy, i.e. reachable, or 0 if the scrape failed.
-		if metricName == scrapeUpMetricName && v != 1.0 {
+		// But it can also be a staleNaN, which is inserted when the target goes away.
+		if metricName == scrapeUpMetricName && v != 1.0 && !value.IsStaleNaN(v) {
 			if v == 0.0 {
 				b.logger.Warn("Failed to scrape Prometheus endpoint",
 					zap.Int64("scrape_timestamp", t),