how to create new checkbuttons with a mouse click in python

You do only have one example_checkbutton. Whenever you call the .place()method, this button is moved around.

If you want new ones, just create them as new Checkbox-widgets:

def place_checkbutton_in_canvas(e):  # order to insert the checkbutton    if len(str(e.widget))<3: ## Don't place a new one if a checkbox was clicked        xx_and = e.x        yy_and = e.y        Checkbutton(root, variable=button1, textvariable=button1, command=color_checkbutton).place(x=xx_and, y=yy_and)

This creates new checkbuttons which are all linked to the button1 variable.

EDIT:

If you want new checkbuttons, you'll have to maintain a list of IntVar() and Checkbutton() objects which is getting longer with each click. The code below should work. I also execute the color change upon creation to create them green and red.

from tkinter import *root = Tk()buttons = []class CMD: #Auxilliary function for callbacks using parameters. Syntax: CMD(function, argument1, argument2, ...)    def __init__(s1, func, *args):        s1.func = func        s1.args = args    def __call__(s1, *args):        args = s1.args+args        s1.func(*args)def color_checkbutton(pos=0):  # define the colors of the checkbutton    if buttons[pos][0].get() == 1:        buttons[pos][2].configure(bg='red')    else:        buttons[pos][2].configure(bg='green')def place_checkbutton_in_canvas(e):  # order to insert the checkbutton    if len(str(e.widget))<3: ## Don't place a new one if a checkbox was clicked        b = IntVar()        pos = len(buttons)        xx_and = e.x        yy_and = e.y        buttons.append([b,pos, Checkbutton(root, variable=b, textvariable=b, command=CMD(color_checkbutton,pos))])        buttons[-1][2].place(x=xx_and, y=yy_and)        color_checkbutton(pos)root.bind('<Button-1>', place_checkbutton_in_canvas)root.mainloop()