Exception 'open failed: EACCES (Permission denied)' on Android

For API 23+ you need to request the read/write permissions even if they are already in your manifest.

// Storage Permissions
private static final int REQUEST_EXTERNAL_STORAGE = 1;
private static String[] PERMISSIONS_STORAGE = {
        Manifest.permission.READ_EXTERNAL_STORAGE,
        Manifest.permission.WRITE_EXTERNAL_STORAGE
};

/**
 * Checks if the app has permission to write to device storage
 *
 * If the app does not has permission then the user will be prompted to grant permissions
 *
 * @param activity
 */
public static void verifyStoragePermissions(Activity activity) {
    // Check if we have write permission
    int permission = ActivityCompat.checkSelfPermission(activity, Manifest.permission.WRITE_EXTERNAL_STORAGE);

    if (permission != PackageManager.PERMISSION_GRANTED) {
        // We don't have permission so prompt the user
        ActivityCompat.requestPermissions(
                activity,
                PERMISSIONS_STORAGE,
                REQUEST_EXTERNAL_STORAGE
        );
    }
}

AndroidManifest.xml

<uses-permission android:name="android.permission.READ_EXTERNAL_STORAGE" />
<uses-permission android:name="android.permission.WRITE_EXTERNAL_STORAGE" />

For official documentation about requesting permissions for API 23+, check https://developer.android.com/training/permissions/requesting.html

I had the same problem... The <uses-permission was in the wrong place. This is right:

 <manifest>
        <uses-permission android:name="android.permission.WRITE_EXTERNAL_STORAGE"/>
        ...
        <application>
            ...
            <activity> 
                ...
            </activity>
        </application>
    </manifest> 

The uses-permission tag needs to be outside the application tag.

Google has a new feature on Android Q: filtered view for external storage. A quick fix for that is to add this code in the AndroidManifest.xml file:

<manifest ... >
    <!-- This attribute is "false" by default on apps targeting Android Q. -->
    <application android:requestLegacyExternalStorage="true" ... >
     ...
    </application>
</manifest>

You can read more about it here: https://developer.android.com/training/data-storage/use-cases

Edit: I am starting to get downvotes because this answer is out of date for Android 11. So whoever sees this answer please go to the link above and read the instructions.

Add android:requestLegacyExternalStorage="true" to the Android Manifest It's worked with Android 10 (Q) at SDK 29+
or After migrating Android X.

 <application
    android:name=".MyApplication"
    android:allowBackup="true"
    android:hardwareAccelerated="true"
    android:icon=""
    android:label=""
    android:largeHeap="true"
    android:supportsRtl=""
    android:theme=""
    android:requestLegacyExternalStorage="true">