diff --git a/pkg/services/ngalert/schedule/schedule.go b/pkg/services/ngalert/schedule/schedule.go
index f6e4ca710a1..b8759a5220d 100644
--- a/pkg/services/ngalert/schedule/schedule.go
+++ b/pkg/services/ngalert/schedule/schedule.go
@@ -4,6 +4,8 @@ import (
 	"context"
 	"fmt"
 	"net/url"
+	"slices"
+	"strings"
 	"time"
 
 	"github.com/benbjohnson/clock"
@@ -325,6 +327,9 @@ func (sch *schedule) processTick(ctx context.Context, dispatcherGroup *errgroup.
 		step = sch.baseInterval.Nanoseconds() / int64(len(readyToRun))
 	}
 
+	slices.SortFunc(readyToRun, func(a, b readyToRunItem) int {
+		return strings.Compare(a.rule.UID, b.rule.UID)
+	})
 	for i := range readyToRun {
 		item := readyToRun[i]
 
diff --git a/pkg/services/ngalert/schedule/schedule_unit_test.go b/pkg/services/ngalert/schedule/schedule_unit_test.go
index c30b54d3901..00a4d1ad769 100644
--- a/pkg/services/ngalert/schedule/schedule_unit_test.go
+++ b/pkg/services/ngalert/schedule/schedule_unit_test.go
@@ -7,6 +7,7 @@ import (
 	"fmt"
 	"math/rand"
 	"net/url"
+	"slices"
 	"testing"
 	"time"
 
@@ -354,6 +355,47 @@ func TestProcessTicks(t *testing.T) {
 		require.Len(t, updated, 1)
 		require.Equal(t, expectedUpdated, updated[0])
 	})
+	t.Run("on 12th tick all rules should be stopped", func(t *testing.T) {
+		expectedToBeStopped, err := ruleStore.GetAlertRulesKeysForScheduling(ctx)
+		require.NoError(t, err)
+
+		ruleStore.rules = map[string]*models.AlertRule{}
+		tick = tick.Add(cfg.BaseInterval)
+		scheduled, stopped, updated := sched.processTick(ctx, dispatcherGroup, tick)
+
+		require.Emptyf(t, scheduled, "None rules should be scheduled")
+
+		require.Len(t, stopped, len(expectedToBeStopped))
+
+		require.Emptyf(t, updated, "No rules should be updated")
+	})
+
+	t.Run("scheduled rules should be sorted", func(t *testing.T) {
+		rules := models.GenerateAlertRules(rand.Intn(10)+10, models.AlertRuleGen(models.WithOrgID(mainOrgID), models.WithInterval(cfg.BaseInterval)))
+		ruleStore.rules = map[string]*models.AlertRule{}
+		ruleStore.PutRule(context.Background(), rules...)
+
+		expectedUids := make([]string, 0, len(rules))
+		for _, rule := range rules {
+			expectedUids = append(expectedUids, rule.UID)
+		}
+		slices.Sort(expectedUids)
+
+		tick = tick.Add(cfg.BaseInterval)
+
+		scheduled, stopped, updated := sched.processTick(ctx, dispatcherGroup, tick)
+		require.Emptyf(t, stopped, "None rules are expected to be stopped")
+		require.Emptyf(t, updated, "None rules are expected to be updated")
+
+		actualUids := make([]string, 0, len(scheduled))
+		for _, rule := range scheduled {
+			actualUids = append(actualUids, rule.rule.UID)
+		}
+
+		require.Len(t, scheduled, len(rules))
+		assert.Truef(t, slices.IsSorted(actualUids), "The scheduler rules should be sorted by UID but they aren't")
+		require.Equal(t, expectedUids, actualUids)
+	})
 }
 
 func TestSchedule_deleteAlertRule(t *testing.T) {