diff --git a/stable/prometheus-operator/Chart.yaml b/stable/prometheus-operator/Chart.yaml
index c7f9764c41c1..097859931b28 100644
--- a/stable/prometheus-operator/Chart.yaml
+++ b/stable/prometheus-operator/Chart.yaml
@@ -12,7 +12,7 @@ sources:
   - https://github.com/coreos/kube-prometheus
   - https://github.com/coreos/prometheus-operator
   - https://coreos.com/operators/prometheus
-version: 8.13.11
+version: 8.13.12
 appVersion: 0.38.1
 tillerVersion: ">=2.12.0"
 home: https://github.com/coreos/prometheus-operator
diff --git a/stable/prometheus-operator/README.md b/stable/prometheus-operator/README.md
index 26c50356a4cd..4add3463d079 100644
--- a/stable/prometheus-operator/README.md
+++ b/stable/prometheus-operator/README.md
@@ -154,6 +154,7 @@ The following tables list the configurable parameters of the prometheus-operator
 | `defaultRules.rules.k8s` | Create K8S default rules| `true` |
 | `defaultRules.rules.kubeApiserver` | Create Api Server default rules| `true` |
 | `defaultRules.rules.kubeApiserverError` | Create Api Server Error default rules| `true` |
+| `defaultRules.rules.kubeApiserverSlos` | Create Api Server SLOs default rules| `true` |
 | `defaultRules.rules.kubePrometheusNodeAlerting` | Create Node Alerting default rules| `true` |
 | `defaultRules.rules.kubePrometheusNodeRecording` | Create Node Recording default rules| `true` |
 | `defaultRules.rules.kubeScheduler` | Create Kubernetes Scheduler default rules| `true` |
diff --git a/stable/prometheus-operator/hack/sync_prometheus_rules.py b/stable/prometheus-operator/hack/sync_prometheus_rules.py
index 26dd14804a1e..3f0d063ffc25 100755
--- a/stable/prometheus-operator/hack/sync_prometheus_rules.py
+++ b/stable/prometheus-operator/hack/sync_prometheus_rules.py
@@ -55,6 +55,7 @@ def new_representer(dumper, data):
     'k8s.rules': ' .Values.defaultRules.rules.k8s',
     'kube-apiserver.rules': ' .Values.kubeApiServer.enabled .Values.defaultRules.rules.kubeApiserver',
     'kube-apiserver-error': ' .Values.kubeApiServer.enabled .Values.defaultRules.rules.kubeApiserverError',
+    'kube-apiserver-slos': ' .Values.kubeApiServer.enabled .Values.defaultRules.rules.kubeApiserverSlos',
     'kube-prometheus-node-alerting.rules': ' .Values.defaultRules.rules.kubePrometheusNodeAlerting',
     'kube-prometheus-node-recording.rules': ' .Values.defaultRules.rules.kubePrometheusNodeRecording',
     'kube-scheduler.rules': ' .Values.kubeScheduler.enabled .Values.defaultRules.rules.kubeScheduler',
diff --git a/stable/prometheus-operator/templates/prometheus/rules-1.14/etcd.yaml b/stable/prometheus-operator/templates/prometheus/rules-1.14/etcd.yaml
index 09fa80a44f5c..b958a55e2dfd 100644
--- a/stable/prometheus-operator/templates/prometheus/rules-1.14/etcd.yaml
+++ b/stable/prometheus-operator/templates/prometheus/rules-1.14/etcd.yaml
@@ -24,6 +24,21 @@ spec:
   groups:
   - name: etcd
     rules:
+    - alert: etcdMembersDown
+      annotations:
+        message: 'etcd cluster "{{`{{`}} $labels.job {{`}}`}}": members are down ({{`{{`}} $value {{`}}`}}).'
+      expr: |-
+        max by (job) (
+          sum by (job) (up{job=~".*etcd.*"} == bool 0)
+        or
+          count by (job,endpoint) (
+            sum by (job,endpoint,To) (rate(etcd_network_peer_sent_failures_total{job=~".*etcd.*"}[3m])) > 0.01
+          )
+        )
+        > 0
+      for: 3m
+      labels:
+        severity: critical
     - alert: etcdInsufficientMembers
       annotations:
         message: 'etcd cluster "{{`{{`}} $labels.job {{`}}`}}": insufficient members ({{`{{`}} $value {{`}}`}}).'
@@ -40,9 +55,9 @@ spec:
         severity: critical
     - alert: etcdHighNumberOfLeaderChanges
       annotations:
-        message: 'etcd cluster "{{`{{`}} $labels.job {{`}}`}}": instance {{`{{`}} $labels.instance {{`}}`}} has seen {{`{{`}} $value {{`}}`}} leader changes within the last hour.'
-      expr: rate(etcd_server_leader_changes_seen_total{job=~".*etcd.*"}[15m]) > 3
-      for: 15m
+        message: 'etcd cluster "{{`{{`}} $labels.job {{`}}`}}": {{`{{`}} $value {{`}}`}} leader changes within the last 15 minutes. Frequent elections may be a sign of insufficient resources, high network latency, or disruptions by other components and should be investigated.'
+      expr: increase((max by (job) (etcd_server_leader_changes_seen_total{job=~".*etcd.*"}) or 0*absent(etcd_server_leader_changes_seen_total{job=~".*etcd.*"}))[15m:1m]) >= 3
+      for: 5m
       labels:
         severity: warning
     - alert: etcdHighNumberOfFailedGRPCRequests
@@ -87,7 +102,7 @@ spec:
         severity: warning
     - alert: etcdHighNumberOfFailedProposals
       annotations:
-        message: 'etcd cluster "{{`{{`}} $labels.job {{`}}`}}": {{`{{`}} $value {{`}}`}} proposal failures within the last hour on etcd instance {{`{{`}} $labels.instance {{`}}`}}.'
+        message: 'etcd cluster "{{`{{`}} $labels.job {{`}}`}}": {{`{{`}} $value {{`}}`}} proposal failures within the last 30 minutes on etcd instance {{`{{`}} $labels.instance {{`}}`}}.'
       expr: rate(etcd_server_proposals_failed_total{job=~".*etcd.*"}[15m]) > 5
       for: 15m
       labels:
diff --git a/stable/prometheus-operator/templates/prometheus/rules-1.14/kube-apiserver-slos.yaml b/stable/prometheus-operator/templates/prometheus/rules-1.14/kube-apiserver-slos.yaml
index f9a1dff5c669..8f2aa9fbfb21 100644
--- a/stable/prometheus-operator/templates/prometheus/rules-1.14/kube-apiserver-slos.yaml
+++ b/stable/prometheus-operator/templates/prometheus/rules-1.14/kube-apiserver-slos.yaml
@@ -4,7 +4,7 @@ Do not change in-place! In order to change this file first read following link:
 https://github.com/helm/charts/tree/master/stable/prometheus-operator/hack
 */ -}}
 {{- $kubeTargetVersion := default .Capabilities.KubeVersion.GitVersion .Values.kubeTargetVersionOverride }}
-{{- if and (semverCompare ">=1.14.0-0" $kubeTargetVersion) (semverCompare "<9.9.9-9" $kubeTargetVersion) .Values.defaultRules.create }}
+{{- if and (semverCompare ">=1.14.0-0" $kubeTargetVersion) (semverCompare "<9.9.9-9" $kubeTargetVersion) .Values.defaultRules.create .Values.kubeApiServer.enabled .Values.defaultRules.rules.kubeApiserverSlos }}
 apiVersion: monitoring.coreos.com/v1
 kind: PrometheusRule
 metadata:
diff --git a/stable/prometheus-operator/templates/prometheus/rules/etcd.yaml b/stable/prometheus-operator/templates/prometheus/rules/etcd.yaml
index 5de9b8328677..dedad1ab6dde 100644
--- a/stable/prometheus-operator/templates/prometheus/rules/etcd.yaml
+++ b/stable/prometheus-operator/templates/prometheus/rules/etcd.yaml
@@ -24,6 +24,21 @@ spec:
   groups:
   - name: etcd
     rules:
+    - alert: etcdMembersDown
+      annotations:
+        message: 'etcd cluster "{{`{{`}} $labels.job {{`}}`}}": members are down ({{`{{`}} $value {{`}}`}}).'
+      expr: |-
+        max by (job) (
+          sum by (job) (up{job=~".*etcd.*"} == bool 0)
+        or
+          count by (job,endpoint) (
+            sum by (job,endpoint,To) (rate(etcd_network_peer_sent_failures_total{job=~".*etcd.*"}[3m])) > 0.01
+          )
+        )
+        > 0
+      for: 3m
+      labels:
+        severity: critical
     - alert: etcdInsufficientMembers
       annotations:
         message: 'etcd cluster "{{`{{`}} $labels.job {{`}}`}}": insufficient members ({{`{{`}} $value {{`}}`}}).'
@@ -40,9 +55,9 @@ spec:
         severity: critical
     - alert: etcdHighNumberOfLeaderChanges
       annotations:
-        message: 'etcd cluster "{{`{{`}} $labels.job {{`}}`}}": instance {{`{{`}} $labels.instance {{`}}`}} has seen {{`{{`}} $value {{`}}`}} leader changes within the last hour.'
-      expr: rate(etcd_server_leader_changes_seen_total{job=~".*etcd.*"}[15m]) > 3
-      for: 15m
+        message: 'etcd cluster "{{`{{`}} $labels.job {{`}}`}}": {{`{{`}} $value {{`}}`}} leader changes within the last 15 minutes. Frequent elections may be a sign of insufficient resources, high network latency, or disruptions by other components and should be investigated.'
+      expr: increase((max by (job) (etcd_server_leader_changes_seen_total{job=~".*etcd.*"}) or 0*absent(etcd_server_leader_changes_seen_total{job=~".*etcd.*"}))[15m:1m]) >= 3
+      for: 5m
       labels:
         severity: warning
     - alert: etcdHighNumberOfFailedGRPCRequests
@@ -87,7 +102,7 @@ spec:
         severity: warning
     - alert: etcdHighNumberOfFailedProposals
       annotations:
-        message: 'etcd cluster "{{`{{`}} $labels.job {{`}}`}}": {{`{{`}} $value {{`}}`}} proposal failures within the last hour on etcd instance {{`{{`}} $labels.instance {{`}}`}}.'
+        message: 'etcd cluster "{{`{{`}} $labels.job {{`}}`}}": {{`{{`}} $value {{`}}`}} proposal failures within the last 30 minutes on etcd instance {{`{{`}} $labels.instance {{`}}`}}.'
       expr: rate(etcd_server_proposals_failed_total{job=~".*etcd.*"}[15m]) > 5
       for: 15m
       labels:
diff --git a/stable/prometheus-operator/values.yaml b/stable/prometheus-operator/values.yaml
index 75d5417f4db2..d54ff6b2ebaa 100644
--- a/stable/prometheus-operator/values.yaml
+++ b/stable/prometheus-operator/values.yaml
@@ -31,6 +31,7 @@ defaultRules:
     k8s: true
     kubeApiserver: true
     kubeApiserverError: true
+    kubeApiserverSlos: true
     kubePrometheusNodeAlerting: true
     kubePrometheusNodeRecording: true
     kubernetesAbsent: true