Please join these two sentences with if clause and also give reasons.

She went late. She would not get a ticket.

If she---------------------

When you have answered this the best you can, please re-post, and someone here will be happy to give you suggestions and let you know if you need to make corrections.

if she had not gone late, she would have get ticket.

or

if she did not go late, she would get ticket.

which of the above is correct and why?

Neither of the above is correct. You are writing a "conditional" sentence, so you need to use the conditional form of the verb.

If she had not gone late, she would have gotten a ticket.

Check out this site on conditional usage.
http://grammar.ccc.commnet.edu/GRAMMAR/conditional.htm

If she had gone late, she would not have gotten a ticket.