This has been done plenty before, but here is a link to get you started.
When we click on a button, SEND EMAIL with SSRS report[
^]
This is an answer i provided in the past. If you are still stuck, i suggest you research how to make server side calls from HTML on button click using either webforms or mvc (whatever you are using).
If after you've done that, then feel free to come back with some code samples showing that you've attempted to solve your issue, and a clear explanation of your issue then I am sure you will get more meaningful assistance.