Cannot catch toolbar home button click event

    mActionBarDrawerToggle = mNavigationDrawerFragment.getActionBarDrawerToggle();
    mActionBarDrawerToggle.setToolbarNavigationClickListener(new View.OnClickListener() {
        @Override
        public void onClick(View v) {
            // event when click home button
        }
    });

in mycase this code work perfect

I think the correct solution with support library 21 is the following

// action_bar is def resource of appcompat; 
// if you have not provided your own toolbar I mean  
Toolbar toolbar = (Toolbar) findViewById(R.id.action_bar);
if (toolbar != null) {
    // change home icon if you wish
    toolbar.setLogo(this.getResValues().homeIconDrawable());
    toolbar.setOnClickListener(new View.OnClickListener() {
        @Override
        public void onClick(View view) {
            //catch here title and home icon click                          
        }                       
    });                 
}

If you want to know when home is clicked is an AppCompatActivity then you should try it like this:

First tell Android you want to use your Toolbar as your ActionBar:

setSupportActionBar(toolbar);

Then set Home to be displayed via setDisplayShowHomeEnabled like this:

getSupportActionBar().setDisplayShowHomeEnabled(true);

Finally listen for click events on android.R.id.home like usual:

@Override
public boolean onOptionsItemSelected(MenuItem menuItem) {
    if (menuItem.getItemId() == android.R.id.home) {
        Timber.d("Home pressed");
    }
    return super.onOptionsItemSelected(menuItem);
}

If you want to know when the navigation button is clicked on a Toolbar in a class other than AppCompatActivity you can use these methods to set a navigation icon and listen for click events on it. The navigation icon will appear on the left side of your Toolbar where the the "home" button used to be.

toolbar.setNavigationIcon(getResources().getDrawable(R.drawable.ic_nav_back));
toolbar.setNavigationOnClickListener(new View.OnClickListener() {
    @Override
    public void onClick(View v) {
        Log.d("cek", "home selected");
    }
});

If you want to know when the hamburger is clicked and when the drawer opens, you're already listening for these events via onDrawerOpened and onDrawerClosed so you'll want to see if those callbacks fit your requirements.

This is how I do it to return to the right fragment otherwise if you have several fragments on the same level it would return to the first one if you don´t override the toolbar back button behavior.

toolbar.setNavigationOnClickListener(new View.OnClickListener() {
        @Override
        public void onClick(View view) {
            finish();
        }
    });