I don't suggest using putStringSet() since it will screw up your arrayorder.

I suggest running a for loop over your array and giving them different key names. + in the end adding another String, that tells you how long the array is once you wanna read out the strings of the SharedPreferences.

General settings:

SharedPreferences sharedPreferences = getSharedPreferences("YOURKEYFILE", Activity.MODE_PRIVATE);
SharedPreferences.Editor sharedPreferencesEditor = sharedPreferences.edit();

Save String Array:

for (int i = 0; i < array.size(); i++) {
    sharedPreferencesEditor.putString("StringArrayElement" +i, array.get(i));
}
sharedPreferencesEditor.putInt("StringArrayLength", array.size());
sharedPreferencesEditor.commit();

Read String Array:

array.clear();
for (int i = 0; i < sharedPreferencesEditor.getInt("StringArrayLength", 0) {
    array.add(sharedPreferencesEditor.getString("StringArrayElement" +i, "");
}

NOTE: The above code is untested! Community correct me there if you find mistakes.

You can save your array as Serializable object.

//save the task list to preference
SharedPreferences prefs = getSharedPreferences(SHARED_PREFS_FILE, Context.MODE_PRIVATE);
Editor editor = prefs.edit();
try {
    editor.putString(ARRAY, ObjectSerializer.serialize(array));
} catch (IOException e) {
    e.printStackTrace();
}
editor.commit();

And to retrieve it from SharedPreferences:

SharedPreferences prefs = getSharedPreferences(SHARED_PREFS_FILE, Context.MODE_PRIVATE);

try {
    array = (ArrayList<String>) ObjectSerializer.deserialize(prefs.getString(ARRAY,
         ObjectSerializer.serialize(new ArrayList<String>())));
} catch (IOException e) {
    e.printStackTrace();
} catch (ClassNotFoundException e) {
    e.printStackTrace();
}

You can get ObjectSerializer.java from here

This code help to you maybe.You save list item by counter i.

for(int i=0;i<list.size();i++)
    {
editor.putString(list.get(i)+i, list.get(i));
editor.commit();}
for(int i=0;i<list.size();i++)
    {
preferences.getString(list.get(i)+i, "");
    }

It's better to go with Set<String> as API version 11 introduced methods putStringSet and getStringSet which allows the developer to store a list of string values and retrieve a list of string values, respectively.

Save list

// Save the list.
editor.putStringSet("array", myStrings);
editor.commit();

Fetch list

// Get the current list.
SharedPreferences settings = this.getSharedPreferences("YourActivityPreferences", Context.MODE_PRIVATE);
SharedPreferences.Editor editor = settings.edit();
Set<String> myStrings = settings.getStringSet("array", new HashSet<String>());