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self.tray_icon = QSystemTrayIcon()
self.tray_icon.setIcon(QIcon('icon.png'))
self.tray_icon.show()
self.tray_icon.showMessage('It\'s me', 'Hello world!')

connect(this, SIGNAL(activated(QSystemTrayIcon::ActivationReason)), this, SLOT(showPopup(QSystemTrayIcon::ActivationReason)));
.......
......
void TopLevel::showPopup(QSystemTrayIcon::ActivationReason reason)
{
    if(reason==QSystemTrayIcon::Context) {
        m_popup->setVisible(false);
    }
    else if(reason==QSystemTrayIcon::Trigger || reason==QSystemTrayIcon::DoubleClick) {
        if(m_popup->isVisible())
            m_popup->setVisible(false);
        else
            m_popup->show(calculatePopupPoint());
    }
}


QPoint TopLevel::calculatePopupPoint()
{
    QPoint pos=geometry().topLeft();

    int x=pos.x();
    int y=pos.y();
    int w=m_popup->minimumSizeHint().width();
    int h=m_popup->minimumSizeHint().height();

    QRect r=KGlobalSettings::desktopGeometry(QPoint(x+w/2,y+h/2));

    if(x<r.center().x())
        x+=geometry().width();
    else
        x-=w;

    if((y+h)>r.bottom())
        y=r.bottom()-h;

    if((x+w)>r.right())
        x=r.right()-w;

    if(y<r.top())
        y=r.top();

    if(x<r.left())
        x=r.left();

    return QPoint(x,y);
}