diff --git a/modules/postgres/postgres.go b/modules/postgres/postgres.go
index 1f54add722..fd00877429 100644
--- a/modules/postgres/postgres.go
+++ b/modules/postgres/postgres.go
@@ -94,21 +94,40 @@ func WithDatabase(dbName string) testcontainers.CustomizeRequestOption {
 	}
 }
 
-// WithInitScripts sets the init scripts to be run when the container starts
+// WithInitScripts sets the init scripts to be run when the container starts.
+// These init scripts will be executed in sorted name order as defined by the container's current locale, which defaults to en_US.utf8.
+// If you need to run your scripts in a specific order, consider using `WithOrderedInitScripts` instead.
 func WithInitScripts(scripts ...string) testcontainers.CustomizeRequestOption {
 	return func(req *testcontainers.GenericContainerRequest) error {
-		initScripts := []testcontainers.ContainerFile{}
+		containerFiles := []testcontainers.ContainerFile{}
 		for _, script := range scripts {
-			cf := testcontainers.ContainerFile{
-				HostFilePath:      script,
-				ContainerFilePath: "/docker-entrypoint-initdb.d/" + filepath.Base(script),
-				FileMode:          0o755,
-			}
-			initScripts = append(initScripts, cf)
+			initScript := buildInitScriptContainerFile(script, filepath.Base(script))
+			containerFiles = append(containerFiles, initScript)
 		}
-		req.Files = append(req.Files, initScripts...)
+		return testcontainers.WithFiles(containerFiles...)(req)
+	}
+}
 
-		return nil
+// WithOrderedInitScripts sets the init scripts to be run when the container starts.
+// The scripts will be run in the order that they are provided in this function.
+func WithOrderedInitScripts(scripts ...string) testcontainers.CustomizeRequestOption {
+	return func(req *testcontainers.GenericContainerRequest) error {
+		containerFiles := []testcontainers.ContainerFile{}
+		for idx, script := range scripts {
+			containerFilePath := fmt.Sprintf("%03d-%s", idx, filepath.Base(script))
+			initScript := buildInitScriptContainerFile(script, containerFilePath)
+			containerFiles = append(containerFiles, initScript)
+		}
+		return testcontainers.WithFiles(containerFiles...)(req)
+	}
+}
+
+// Adds the file located at hostFilePath as an init script that postgres will launch
+func buildInitScriptContainerFile(hostFilePath string, containerFilePath string) testcontainers.ContainerFile {
+	return testcontainers.ContainerFile{
+		HostFilePath:      hostFilePath,
+		ContainerFilePath: "/docker-entrypoint-initdb.d/" + containerFilePath,
+		FileMode:          0o755,
 	}
 }
 
diff --git a/modules/postgres/postgres_test.go b/modules/postgres/postgres_test.go
index e83b8e1454..88ecda8d30 100644
--- a/modules/postgres/postgres_test.go
+++ b/modules/postgres/postgres_test.go
@@ -5,8 +5,10 @@ import (
 	"database/sql"
 	"errors"
 	"fmt"
+	"io"
 	"os"
 	"path/filepath"
+	"strings"
 	"testing"
 	"time"
 
@@ -19,6 +21,7 @@ import (
 	"github.com/stretchr/testify/require"
 
 	"github.com/testcontainers/testcontainers-go"
+	tcexec "github.com/testcontainers/testcontainers-go/exec"
 	"github.com/testcontainers/testcontainers-go/modules/postgres"
 	"github.com/testcontainers/testcontainers-go/wait"
 )
@@ -288,6 +291,60 @@ func TestWithInitScript(t *testing.T) {
 	require.NotNil(t, result)
 }
 
+func TestWithOrderedInitScript(t *testing.T) {
+	ctx := context.Background()
+
+	ctr, err := postgres.Run(ctx,
+		"postgres:15.2-alpine",
+		// Executes first the init-user-db shell-script, then the do-insert-user SQL script
+		// Using WithInitScripts, this would not work.
+		// This is because aaaa-insert-user would get executed first, but requires init-user-db to be executed before.
+		postgres.WithOrderedInitScripts(
+			filepath.Join("testdata", "init-user-db.sh"),
+			filepath.Join("testdata", "aaaa-insert-user.sql"),
+		),
+		postgres.WithDatabase(dbname),
+		postgres.WithUsername(user),
+		postgres.WithPassword(password),
+		postgres.BasicWaitStrategies(),
+	)
+	testcontainers.CleanupContainer(t, ctr)
+	require.NoError(t, err)
+
+	// Test that init scripts have been correctly renamed
+	c, reader, err := ctr.Exec(ctx, []string{"ls", "-l", "/docker-entrypoint-initdb.d"}, tcexec.Multiplexed())
+	require.NoError(t, err)
+	require.Equal(t, 0, c, "Expected to read init scripts from the container")
+
+	buf := new(strings.Builder)
+	_, err = io.Copy(buf, reader)
+	require.NoError(t, err)
+
+	initScripts := buf.String()
+	strings.Contains(initScripts, "000-init-user-db.sh")
+	strings.Contains(initScripts, "001-aaaa-insert-user.sql")
+
+	// explicitly set sslmode=disable because the container is not configured to use TLS
+	connStr, err := ctr.ConnectionString(ctx, "sslmode=disable")
+	require.NoError(t, err)
+
+	db, err := sql.Open("postgres", connStr)
+	require.NoError(t, err)
+	require.NotNil(t, db)
+	defer db.Close()
+
+	// database created in init script. See testdata/init-user-db.sh
+	rows, err := db.Query("SELECT COUNT(*) FROM testdb;")
+	require.NoError(t, err)
+	require.NotNil(t, rows)
+	for rows.Next() {
+		var count int
+		err := rows.Scan(&count)
+		require.NoError(t, err)
+		require.Equal(t, 2, count)
+	}
+}
+
 func TestSnapshot(t *testing.T) {
 	tests := []struct {
 		name    string
diff --git a/modules/postgres/testdata/aaaa-insert-user.sql b/modules/postgres/testdata/aaaa-insert-user.sql
new file mode 100644
index 0000000000..687937f374
--- /dev/null
+++ b/modules/postgres/testdata/aaaa-insert-user.sql
@@ -0,0 +1,5 @@
+-- Do not rename this file, it is named like this
+-- to test correct ordering behavior.
+--
+-- See TestWithOrderedInitScripts.
+INSERT INTO testdb (id, name) VALUES (2, 'second user')