Can visitor access the SharePoint 2013 list app new form? I am trying to show lists new form in one page using web part, but that page is not accessible to visitor. Help me. Thanks in advance.
By "visitor" do you mean a person with visitor acces? If yes, then you can't. You need to give a person rights to add new items to your list.
If a person has sufficient access, just open your new item page in Edit mode or from SharePoint designer, and set it as your site's home page.