Yeah I am trying through that contact user only even able to see my own sale order with that login but for invoice it is saying "We haven't sent you any invoice.", while invoice is there in the system.

I edited my previous answer.

First of all thanks Ludo, Yeah I first created a customer with valid mail than created a SO than confirmed that sale SO and created related invoice now from sale order screen I send a mail to customer and customer to access their portal for seeing SO , Quotation, Customer Invoices belongs to him only, all are working fin e except Invoice screen part.

I am currently not able to create a similar environment so I cannot check if it occurs locally as well, but can you tell us which Odoo version you are running? Edit the original question and put it in there. It sounds like a bug to me.