When I add a new post in my tumblr account, automatically that post of tumblr would be sync with my wordpress account. Its not necessary that at sync time I have to be logged in wordpress. In simple words, tumblr post will be automatically shown to wordpress blog. I donot know how it will work. If any body have any plugin or api which match to my requirement. I will very much thankful.

i am using this plugin :- http://wordpress.org/extend/plugins/tumblr-importer/

But problem is that i have to import every time post is added in tumblr.Hope that makes sense. Its really annoying for me. TIA