diff --git a/cmd/dex/config.go b/cmd/dex/config.go
index dd91bf1ed6..9c5c103977 100644
--- a/cmd/dex/config.go
+++ b/cmd/dex/config.go
@@ -64,10 +64,16 @@ func (c Config) Validate() error {
 		{c.Web.HTTP == "" && c.Web.HTTPS == "", "must supply a HTTP/HTTPS  address to listen on"},
 		{c.Web.HTTPS != "" && c.Web.TLSCert == "", "no cert specified for HTTPS"},
 		{c.Web.HTTPS != "" && c.Web.TLSKey == "", "no private key specified for HTTPS"},
+		{c.Web.TLSMinVersion != "" && c.Web.TLSMinVersion != "1.2" && c.Web.TLSMinVersion != "1.3", "supported TLS versions are: 1.2, 1.3"},
+		{c.Web.TLSMaxVersion != "" && c.Web.TLSMaxVersion != "1.2" && c.Web.TLSMaxVersion != "1.3", "supported TLS versions are: 1.2, 1.3"},
+		{c.Web.TLSMaxVersion != "" && c.Web.TLSMinVersion != "" && c.Web.TLSMinVersion > c.Web.TLSMaxVersion, "TLSMinVersion greater than TLSMaxVersion"},
 		{c.GRPC.TLSCert != "" && c.GRPC.Addr == "", "no address specified for gRPC"},
 		{c.GRPC.TLSKey != "" && c.GRPC.Addr == "", "no address specified for gRPC"},
 		{(c.GRPC.TLSCert == "") != (c.GRPC.TLSKey == ""), "must specific both a gRPC TLS cert and key"},
 		{c.GRPC.TLSCert == "" && c.GRPC.TLSClientCA != "", "cannot specify gRPC TLS client CA without a gRPC TLS cert"},
+		{c.GRPC.TLSMinVersion != "" && c.GRPC.TLSMinVersion != "1.2" && c.GRPC.TLSMinVersion != "1.3", "supported TLS versions are: 1.2, 1.3"},
+		{c.GRPC.TLSMaxVersion != "" && c.GRPC.TLSMaxVersion != "1.2" && c.GRPC.TLSMaxVersion != "1.3", "supported TLS versions are: 1.2, 1.3"},
+		{c.GRPC.TLSMaxVersion != "" && c.GRPC.TLSMinVersion != "" && c.GRPC.TLSMinVersion > c.GRPC.TLSMaxVersion, "TLSMinVersion greater than TLSMaxVersion"},
 	}
 
 	var checkErrors []string
@@ -149,6 +155,8 @@ type Web struct {
 	HTTPS          string   `json:"https"`
 	TLSCert        string   `json:"tlsCert"`
 	TLSKey         string   `json:"tlsKey"`
+	TLSMinVersion  string   `json:"tlsMinVersion"`
+	TLSMaxVersion  string   `json:"tlsMaxVersion"`
 	AllowedOrigins []string `json:"allowedOrigins"`
 	AllowedHeaders []string `json:"allowedHeaders"`
 }
@@ -163,11 +171,13 @@ type Telemetry struct {
 // GRPC is the config for the gRPC API.
 type GRPC struct {
 	// The port to listen on.
-	Addr        string `json:"addr"`
-	TLSCert     string `json:"tlsCert"`
-	TLSKey      string `json:"tlsKey"`
-	TLSClientCA string `json:"tlsClientCA"`
-	Reflection  bool   `json:"reflection"`
+	Addr          string `json:"addr"`
+	TLSCert       string `json:"tlsCert"`
+	TLSKey        string `json:"tlsKey"`
+	TLSClientCA   string `json:"tlsClientCA"`
+	TLSMinVersion string `json:"tlsMinVersion"`
+	TLSMaxVersion string `json:"tlsMaxVersion"`
+	Reflection    bool   `json:"reflection"`
 }
 
 // Storage holds app's storage configuration.
diff --git a/cmd/dex/config_test.go b/cmd/dex/config_test.go
index 2103708478..16803d6db7 100644
--- a/cmd/dex/config_test.go
+++ b/cmd/dex/config_test.go
@@ -71,7 +71,9 @@ storage:
     connMaxLifetime: 30
     connectionTimeout: 3
 web:
-  http: 127.0.0.1:5556
+  https: 127.0.0.1:5556
+  tlsMinVersion: 1.3
+  tlsMaxVersion: 1.2
 
 frontend:
   dir: ./web
@@ -144,7 +146,9 @@ logger:
 			},
 		},
 		Web: Web{
-			HTTP: "127.0.0.1:5556",
+			HTTPS:         "127.0.0.1:5556",
+			TLSMinVersion: "1.3",
+			TLSMaxVersion: "1.2",
 		},
 		Frontend: server.WebConfig{
 			Dir: "./web",
diff --git a/cmd/dex/serve.go b/cmd/dex/serve.go
index 54767494dd..3494443eca 100644
--- a/cmd/dex/serve.go
+++ b/cmd/dex/serve.go
@@ -145,9 +145,23 @@ func runServe(options serveOptions) error {
 		tls.TLS_RSA_WITH_AES_256_GCM_SHA384,
 	}
 
+	allowedTLSVersions := map[string]int{
+		"1.2": tls.VersionTLS12,
+		"1.3": tls.VersionTLS13,
+	}
+
 	if c.GRPC.TLSCert != "" {
+		tlsMinVersion := tls.VersionTLS12
+		if c.GRPC.TLSMinVersion != "" {
+			tlsMinVersion = allowedTLSVersions[c.GRPC.TLSMinVersion]
+		}
+		tlsMaxVersion := 0 // default for max is whatever Go defaults to
+		if c.GRPC.TLSMaxVersion != "" {
+			tlsMaxVersion = allowedTLSVersions[c.GRPC.TLSMaxVersion]
+		}
 		baseTLSConfig := &tls.Config{
-			MinVersion:               tls.VersionTLS12,
+			MinVersion:               uint16(tlsMinVersion),
+			MaxVersion:               uint16(tlsMaxVersion),
 			CipherSuites:             allowedTLSCiphers,
 			PreferServerCipherSuites: true,
 		}
@@ -422,8 +436,18 @@ func runServe(options serveOptions) error {
 			return fmt.Errorf("listening (%s) on %s: %v", name, c.Web.HTTPS, err)
 		}
 
+		tlsMinVersion := tls.VersionTLS12
+		if c.Web.TLSMinVersion != "" {
+			tlsMinVersion = allowedTLSVersions[c.Web.TLSMinVersion]
+		}
+		tlsMaxVersion := 0 // default for max is whatever Go defaults to
+		if c.Web.TLSMaxVersion != "" {
+			tlsMaxVersion = allowedTLSVersions[c.Web.TLSMaxVersion]
+		}
+
 		baseTLSConfig := &tls.Config{
-			MinVersion:               tls.VersionTLS12,
+			MinVersion:               uint16(tlsMinVersion),
+			MaxVersion:               uint16(tlsMaxVersion),
 			CipherSuites:             allowedTLSCiphers,
 			PreferServerCipherSuites: true,
 		}
diff --git a/config.yaml.dist b/config.yaml.dist
index 12d9b92790..b7e1410ffc 100644
--- a/config.yaml.dist
+++ b/config.yaml.dist
@@ -55,6 +55,8 @@ web:
   # https: 127.0.0.1:5554
   # tlsCert: /etc/dex/tls.crt
   # tlsKey: /etc/dex/tls.key
+  # tlsMinVersion: 1.2
+  # tlsMaxVersion: 1.3
 
 # Dex UI configuration
 # frontend: