The Denver Post reported the picture revealed what appeared to be six formations of one defensive play that had the label "Sink Sam 1 Tite (Formation Adjustment)."
According to the newspaper, a team official contacted Williams, and the plays were deleted from the account.
The Broncos gave the players iPads this offseason as an alternative to more customary playbooks.
After Williams sent out the photo, he sent an accompanying tweet that said: "Coach just told me I have to learn a new position over the weekn,, we have IPads as playbooks now, but I'm old skool I'm using flash cards."
According to the Post, Williams is a weakside linebacker but has started at four different linebacker positions in his eight seasons with the team.
Williams later posted a note that said: "Dear Fans: My post about learning a new position and the fact that our playbooks are now iPad was all for you."
The team said it was aware of the situation, but it declined further comment.
Information from The Associated Press was used in this report.