Using JxBrowser DialogHandler API you can handle situation when Select SSL Certificate dialog should be displayed. By default JxBrowser displays its own implementation of the dialog where user can select required certificate in the list of available certificates. In order to override default behavior you must register your own implementation of the DialogHandler interface with overridden DialogHandler.onSelectCertificate(CertificatesDialogParams params) method. In your implementation you can display your own dialog or suppress the dialog and select required certificate programmatically.

The following sample demonstrates how to override default implementation with custom Select SSL Certificate dialog: 

import com.teamdev.jxbrowser.chromium.*;
import com.teamdev.jxbrowser.chromium.swing.BrowserView;
import com.teamdev.jxbrowser.chromium.swing.DefaultDialogHandler;

import javax.swing.*;
import java.awt.*;
import java.util.List;

 * The sample demonstrates how to display Select SSL Certificate dialog where
 * user must select required SSL certificate to continue loading web page.
public class SelectSSLCertificateSample {
    public static void main(String[] args) {
        Browser browser = new Browser();
        final BrowserView view = new BrowserView(browser);

        JFrame frame = new JFrame();
        frame.add(view, BorderLayout.CENTER);
        frame.setSize(700, 500);

        browser.setDialogHandler(new DefaultDialogHandler(view) {
            public CloseStatus onSelectCertificate(CertificatesDialogParams params) {
                String message = "Select a certificate to authenticate yourself to " + params.getHostPortPair().getHostPort();
                List<Certificate> certificates = params.getCertificates();
                if (!certificates.isEmpty()) {
                    Object[] selectionValues = certificates.toArray();
                    Object selectedValue = JOptionPane.showInputDialog(view, message, "Select a certificate",
                            JOptionPane.PLAIN_MESSAGE, null, selectionValues, selectionValues[0]);
                    if (selectedValue != null) {
                        params.setSelectedCertificate((Certificate) selectedValue);
                        return CloseStatus.OK;
                return CloseStatus.CANCEL;
        browser.loadURL("<URL that causes Select SSL Certificate dialog>");