Humphrey Aaron

Get/display Tumblr posts via AJAX / Javascript / Client-side HTML requests. This plugin is great where the WordPress hosting server does not allow external HTTP requests, or where external HTTP requests on the server are preferred to be minimal.
Tumblr Ajax Features:
<ul>
<li>Display Tumblr posts, photos, videos and audios in a sidebar, post, or page</li>
<li>Styles to allow for customization</li>
<li>Widget options</li>
</ul>
Quick Start Guide:
<ol>
<li>After installing the Tumblr Ajax plugin on your WordPress site, make sure it is activated by logging into your admin area and going to Plugins in the left menu.</li>
<li>Before using the plugin, you must authorize your WordPress website to access your Tumblr account by adding the Widget to an existing Sidebar, and configuring it accordingly.</li>
<li>Play around with the various styles and options to find what works best for your site.</li>
<li>In order to change the CSS styles of Tumblr Posts, you can over-ride, using your own Stylesheet, the plugin’s default.css mark-up styles</li>
</ol>

Tumblr Ajax

Works with the latest WordPress version (4.4).



Now works

Display Tumblr posts via AJAX / Javascript / Client-side HTML requests

dechadou

This plugin will allow to import images from any Tumblr blog into wordpress. 
It will automatically create the posts with the image set as Featured Image.
You can also set the post format (Standard, gallery, etc), the ammount of images to be inserted and the status of the post (Published, Draft).

Tumblr Image Importer

This plugin will allow to import images from any Tumblr blog into wordpress.

Tumblr Ajax vs Tumblr Image Importer