Hi, I am looking for a way to earn some money without invest(because I am broke), I can dedicate 2 hours a day in that. what can I do to make a bitcoin per month without any investment?
you cannot earn money without investing,if earning money is a very easy deal then everyone in bitcointalk would have being millionaires ,nothing can be achieved without doing anything,if you have any technical skills you could earn money or just go for a regular job and convert those to bitcoin 
Yeah you need to aleast invest bitcoin to be able to earn 1 btc in just 1 or 2 months.. because even the free mining sites cant help you to earn that..unless otherwise you invest or seek for a good job..
I just want to advise you that for the mean time study very well anout bitcoin and join different forums to atleast earn bitcoin or money in that way you can earn.