Nintendo tweeted today the date and time of their E3 Nintendo Direct for North America, where they are expected to reveal most, if not all, of their games for the Fall and early 2014.
Tuesday, June 11th @ 7AM Pacific
This corresponds to the first official day of E3 expo proper, but the day after the official keynotes of Microsoft, Sony, Ubisoft, and EA. Might actually be a smart move, because Nintendo's announcements will likely be the "newest" news available that day, everyone else having already revealed their stuff the day before, fighting among themselves for attention.
The Nintendo Direct WILL feature a video of the new Super Smash Bros. Source