How to access C++ enum from QML?

You can wrap the enum in a class which derives from QObject (and that you expose to QML):

style.hpp :

#ifndef STYLE_HPP
#define STYLE_HPP

#include <QtGlobal>
#if QT_VERSION < QT_VERSION_CHECK(5,0,0)
    // Qt 4
    #include <QDeclarativeEngine>
#else
    // Qt 5
    #include <QQmlEngine>
#endif

// Required derivation from QObject
class StyleClass : public QObject
{
    Q_OBJECT

    public:
        // Default constructor, required for classes you expose to QML.
        StyleClass() : QObject() {}

        enum EnStyle
        {
            STYLE_RADIAL,
            STYLE_ENVELOPE,
            STYLE_FILLED
        };
        Q_ENUMS(EnStyle)

        // Do not forget to declare your class to the QML system.
        static void declareQML() {
            qmlRegisterType<StyleClass>("MyQMLEnums", 13, 37, "Style");
        }
};

#endif    // STYLE_HPP

main.cpp:

#include <QApplication>
#include "style.hpp"

int main (int argc, char ** argv) {
    QApplication a(argc, argv);

    //...

    StyleClass::declareQML();

    //...

    return a.exec();
}

QML Code:

import MyQMLEnums 13.37
import QtQuick 2.0    // Or 1.1 depending on your Qt version

Item {
    id: myitem

    //...

    property int item_style: Style.STYLE_RADIAL

    //...
}