As you are looking for the Union Bank of India Home loan online Application form ,here I am providing the process to reach the page where you can get detailed information .
Visit the official website of Union Bank of India

You can see APPLY ONLINE which is on the right side of bottom page .

Click on Home loan

Click on Online Loan Application

Click on new

Enter the details and click on apply for loan

The page looks like the image given below
Union Bank of India Home loan online application form