Use asyncio and Tkinter (or another GUI lib) together without freezing the GUI

I'm a bit late to the party but if you are not targeting Windows you can use aiotkinter to achieve what you want. I modified your code to show you how to use this package:

from tkinter import *
from tkinter import messagebox
import asyncio
import random

import aiotkinter

def do_freezed():
    """ Button-Event-Handler to see if a button on GUI works. """
    messagebox.showinfo(message='Tkinter is reacting.')

def do_tasks():
    task = asyncio.ensure_future(do_urls())
    task.add_done_callback(tasks_done)

def tasks_done(task):
    messagebox.showinfo(message='Tasks done.')

async def one_url(url):
    """ One task. """
    sec = random.randint(1, 15)
    await asyncio.sleep(sec)
    return 'url: {}\tsec: {}'.format(url, sec)

async def do_urls():
    """ Creating and starting 10 tasks. """
    tasks = [
        one_url(url)
        for url in range(10)
    ]
    completed, pending = await asyncio.wait(tasks)
    results = [task.result() for task in completed]
    print('\n'.join(results))

if __name__ == '__main__':
    asyncio.set_event_loop_policy(aiotkinter.TkinterEventLoopPolicy())
    loop = asyncio.get_event_loop()
    root = Tk()
    buttonT = Button(master=root, text='Asyncio Tasks', command=do_tasks)
    buttonT.pack()
    buttonX = Button(master=root, text='Freezed???', command=do_freezed)
    buttonX.pack()
    loop.run_forever()

In a slight modification to your code, I created the asyncio event_loop in the main thread and passed it as an argument to the asyncio thread. Now Tkinter won't freeze while the urls are fetched.

from tkinter import *
from tkinter import messagebox
import asyncio
import threading
import random

def _asyncio_thread(async_loop):
    async_loop.run_until_complete(do_urls())


def do_tasks(async_loop):
    """ Button-Event-Handler starting the asyncio part. """
    threading.Thread(target=_asyncio_thread, args=(async_loop,)).start()

    
async def one_url(url):
    """ One task. """
    sec = random.randint(1, 8)
    await asyncio.sleep(sec)
    return 'url: {}\tsec: {}'.format(url, sec)

async def do_urls():
    """ Creating and starting 10 tasks. """
    tasks = [one_url(url) for url in range(10)]
    completed, pending = await asyncio.wait(tasks)
    results = [task.result() for task in completed]
    print('\n'.join(results))


def do_freezed():
    messagebox.showinfo(message='Tkinter is reacting.')

def main(async_loop):
    root = Tk()
    Button(master=root, text='Asyncio Tasks', command= lambda:do_tasks(async_loop)).pack()
    Button(master=root, text='Freezed???', command=do_freezed).pack()
    root.mainloop()

if __name__ == '__main__':
    async_loop = asyncio.get_event_loop()
    main(async_loop)

Trying to run both event loops at the same time is a dubious proposition. However, since root.mainloop simply calls root.update repeatedly, one can simulate mainloop by calling update repeatedly as an asyncio task. Here is a test program that does so. I presume adding asyncio tasks to the tkinter tasks would work. I checked that it still runs with 3.7.0a2.

"""Proof of concept: integrate tkinter, asyncio and async iterator.

Terry Jan Reedy, 2016 July 25
"""

import asyncio
from random import randrange as rr
import tkinter as tk


class App(tk.Tk):
    
    def __init__(self, loop, interval=1/120):
        super().__init__()
        self.loop = loop
        self.protocol("WM_DELETE_WINDOW", self.close)
        self.tasks = []
        self.tasks.append(loop.create_task(self.rotator(1/60, 2)))
        self.tasks.append(loop.create_task(self.updater(interval)))

    async def rotator(self, interval, d_per_tick):
        canvas = tk.Canvas(self, height=600, width=600)
        canvas.pack()
        deg = 0
        color = 'black'
        arc = canvas.create_arc(100, 100, 500, 500, style=tk.CHORD,
                                start=0, extent=deg, fill=color)
        while await asyncio.sleep(interval, True):
            deg, color = deg_color(deg, d_per_tick, color)
            canvas.itemconfigure(arc, extent=deg, fill=color)

    async def updater(self, interval):
        while True:
            self.update()
            await asyncio.sleep(interval)

    def close(self):
        for task in self.tasks:
            task.cancel()
        self.loop.stop()
        self.destroy()


def deg_color(deg, d_per_tick, color):
    deg += d_per_tick
    if 360 <= deg:
        deg %= 360
        color = '#%02x%02x%02x' % (rr(0, 256), rr(0, 256), rr(0, 256))
    return deg, color

loop = asyncio.get_event_loop()
app = App(loop)
loop.run_forever()
loop.close()

Both the tk update overhead and time resolution increase as the interval is decreased. For gui updates, as opposed to animations, 20 per second may be enough.

I recently succeeded in running async def coroutines containing tkinter calls and awaits with mainloop. The prototype uses asyncio Tasks and Futures, but I don't know if adding normal asyncio tasks would work. If one wants to run asyncio and tkinter tasks together, I think running tk update with an asyncio loop is a better idea.

EDIT: A least as used above, exception without async def coroutines kill the coroutine but are somewhere caught and discarded. Silent error are pretty obnoxious.

EDIT2: Additional code and comments at https://bugs.python.org/issue27546