diff --git a/ctrd/image_proxy_util_test.go b/ctrd/image_proxy_util_test.go
index d3070f687..052b1ebc5 100644
--- a/ctrd/image_proxy_util_test.go
+++ b/ctrd/image_proxy_util_test.go
@@ -1,6 +1,9 @@
 package ctrd
 
-import "testing"
+import (
+	"net/url"
+	"testing"
+)
 
 func TestHasPort(t *testing.T) {
 	type args struct {
@@ -33,9 +36,60 @@ func TestHasPort(t *testing.T) {
 }
 
 func TestCanonicalAddr(t *testing.T) {
-	// TODO
+	tests := []struct {
+		name      string
+		urlString string
+		want      string
+	}{
+		{name: "test1", urlString: "http://google.com", want: "google.com:80"},
+		{name: "test2", urlString: "https://www.github.com", want: "www.github.com:443"},
+		{name: "test3", urlString: "socks5://shadowsocks.com", want: "shadowsocks.com:1080"},
+		{name: "test4", urlString: "ftp://127.0.0.1", want: "127.0.0.1:"},
+	}
+
+	for _, tt := range tests {
+		t.Run(tt.name, func(t *testing.T) {
+			exampleURL, _ := url.Parse(tt.urlString)
+			got := canonicalAddr(exampleURL)
+
+			if got != tt.want {
+				t.Errorf("canonicalAddr() = %v, want %v", got, tt.want)
+			}
+		})
+	}
 }
 
 func TestUseProxy(t *testing.T) {
-	// TODO
+	tests := []struct {
+		name    string
+		addr    string
+		noProxy string
+		want    bool
+	}{
+		{name: "test1", addr: "", want: true},
+		{name: "test2", addr: "google.com", want: false},
+		{name: "test3", addr: "localhost:80", want: false},
+		{name: "test4", addr: "127.0.0.1:80", want: false},
+		{name: "test5", addr: "10.0.0.1:80", want: true},
+		{name: "test6", addr: "golang.org:80", noProxy: "*", want: false},
+		{name: "test7", addr: "maps.google.com:443", noProxy: ".google.com", want: false},
+		{name: "test8", addr: "google.com:443", noProxy: ".google.com", want: false},
+		{name: "test9", addr: "maps.google.com:443", noProxy: "google.com", want: false},
+		{name: "test10", addr: "google.com:443", noProxy: "google.com", want: false},
+		{name: "test11", addr: "maps.google.com:443", want: true},
+	}
+
+	// simulate the fetch of environmental variable no_proxy
+	noProxyEnv.once.Do(func() {})
+
+	for _, tt := range tests {
+		t.Run(tt.name, func(t *testing.T) {
+			noProxyEnv.val = tt.noProxy
+			got := useProxy(tt.addr)
+
+			if got != tt.want {
+				t.Errorf("useProxy() = %v, want %v", got, tt.want)
+			}
+		})
+	}
 }