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Say, I got two windows, Window 1 contains 2 pane (1, 2), Window 2 contains 3 panes(1,2,3), and I'm in pane 1 in Window 1, and I want to jump directly into the pane 2 in Window 2, PREFIX w which is choose-window will list all the windows in the session so I can jump into the right window, but it will not list the panes, PREFIX q which is display-panes will let me choose the right pane only in the current window, but not across windows.

So I wonder if there is any command that let me choose panes across windows.
The best solution is choose-window or a new command will not only list all the windows but also list all the panes inside each window like tree in a directory.

You can actually do this quite easily by adding a binding or changing the binding of PREFIX s choose-session to something like PREFIX s choose-tree. Or you could bind this to a new shortcut like PREFIX t choose-tree since t currently just shows a clock that I haven't found a use for.

You can then use the arrow keys to navigate this tree or map h and l in vi-choice mode to expand/close the tree.

This does require a certain version of tmux (1.8 or higher I think).

EDIT: There is actually an even faster way to do it than a fuzzy search. Add -u to the end of the choose-tree mapping and you can select a session with a single letter (listed on the left side of the screen). This is faster than pretty much ANY fuzzy search, because it only requires a key or chord (PREFIX) a shortcut (t) and then a session selection (a-z).

This has just vastly improved my session switching, thanks for the question, and let me know if you still want to do a fuzzy match.

This is an old post, actually this problems was already solved by commit aad4e4d on github page a long ago, use choose-tree (just bind it to a key) to show all panes in all sessions/widows/tabs, it even shows a preview box when you scroll line into one pane from the list, very nice.

Just compile and install tmux from github source code and you can use this feature.