This is not really an answer to thread safety of globals.

But I think it is important to mention sessions here. You are looking for a way to store client-specific data. Every connection should have access to its own pool of data, in a threadsafe way.

This is possible with server-side sessions, and they are available in a very neat flask plugin: https://pythonhosted.org/Flask-Session/

If you set up sessions, a session variable is available in all your routes and it behaves like a dictionary. The data stored in this dictionary is individual for each connecting client.

Here is a short demo:

from flask import Flask, session
from flask_session import Session

app = Flask(__name__)
# Check Configuration section for more details
SESSION_TYPE = 'filesystem'
app.config.from_object(__name__)
Session(app)

@app.route('/')
def reset():
    session["counter"]=0

    return "counter was reset"

@app.route('/inc')
def routeA():
    if not "counter" in session:
        session["counter"]=0

    session["counter"]+=1

    return "counter is {}".format(session["counter"])

@app.route('/dec')
def routeB():
    if not "counter" in session:
        session["counter"] = 0

    session["counter"] -= 1

    return "counter is {}".format(session["counter"])


if __name__ == '__main__':
    app.run()

After pip install Flask-Session, you should be able to run this. Try accessing it from different browsers, you'll see that the counter is not shared between them.

You can't use global variables to hold this sort of data. Not only is it not thread safe, it's not process safe, and WSGI servers in production spawn multiple processes. Not only would your counts be wrong if you were using threads to handle requests, they would also vary depending on which process handled the request.

Use a data source outside of Flask to hold global data. A database, memcached, or redis are all appropriate separate storage areas, depending on your needs. If you need to load and access Python data, consider multiprocessing.Manager. You could also use the session for simple data that is per-user.

The development server may run in single thread and process. You won't see the behavior you describe since each request will be handled synchronously. Enable threads or processes and you will see it. app.run(threaded=True) or app.run(processes=10). (In 1.0 the server is threaded by default.)

Some WSGI servers may support gevent or another async worker. Global variables are still not thread safe because there's still no protection against most race conditions. You can still have a scenario where one worker gets a value, yields, another modifies it, yields, then the first worker also modifies it.

If you need to store some global data during a request, you may use Flask's g object. Another common case is some top-level object that manages database connections. The distinction for this type of "global" is that it's unique to each request, not used between requests, and there's something managing the set up and teardown of the resource.