WifiManager wifiManager = (WifiManager) context.getSystemService(context.WIFI_SERVICE);
WifiInfo wifiInfo = wifiManager.getConnectionInfo();
String ssid = wifiInfo.getSSID();

<uses-permission android:name="android.permission.INTERNET"/>
<uses-permission android:name="android.permission.ACCESS_WIFI_STATE"/>
<uses-permission android:name="android.permission.ACCESS_NETWORK_STATE"/>
<uses-permission android:name="android.permission.ACCESS_FINE_LOCATION"/>

if (WifiManager.NETWORK_STATE_CHANGED_ACTION.equals (action)) {
        NetworkInfo netInfo = intent.getParcelableExtra (WifiManager.EXTRA_NETWORK_INFO);
        if (ConnectivityManager.TYPE_WIFI == netInfo.getType ()) {

WifiManager wifiManager = (WifiManager) getSystemService (Context.WIFI_SERVICE);
WifiInfo info = wifiManager.getConnectionInfo ();
String ssid  = info.getSSID();

WifiManager wifiManager = (WifiManager) getSystemService(Context.WIFI_SERVICE);
WifiInfo wifiInfo;

wifiInfo = wifiManager.getConnectionInfo();
if (wifiInfo.getSupplicantState() == SupplicantState.COMPLETED) {
    ssid = wifiInfo.getSSID();
}

public String getWifiName(Context context) {
    WifiManager manager = (WifiManager) context.getSystemService(Context.WIFI_SERVICE);
    if (manager.isWifiEnabled()) {
       WifiInfo wifiInfo = manager.getConnectionInfo();
       if (wifiInfo != null) {
          DetailedState state = WifiInfo.getDetailedStateOf(wifiInfo.getSupplicantState());
          if (state == DetailedState.CONNECTED || state == DetailedState.OBTAINING_IPADDR) {
              return wifiInfo.getSSID();
          }
       }
    }
    return null;
}