Details

ButtonBox is the low-level representation of Button. Except for low-level notebook expression manipulation, ButtonBox should not need to be used directly.
ButtonBox[boxes] displays as boxes and performs an action when it is clicked.
The default action is to paste boxes at your current insertion point. Other actions can be specified using options.
ButtonBox objects are used to implement palette buttons, hyperlinks, and other active elements in notebooks.
ButtonBox objects are active when either they or the cell that contains them has the option Enabled->True.
When ButtonBox objects are active, they perform an action whenever they are clicked. Otherwise, clicking them simply selects them or their contents.
ButtonBox[boxes,BaseStyle->"style"] takes the properties of the ButtonBox from the specified style. The style for a ButtonBox can specify both its appearance and its action.
The following options affecting button appearance can be given:

Appearance	Automatic	the overall appearance of the button
Background	Automatic	button background color
BaselinePosition	Automatic	alignment relative to surrounding text
BaseStyle	"GenericButton"	base style specifications for the button
ButtonMinHeight	1.0	the minimum total height of a button in units of font size
ContentPadding	True	whether to shrink the margins tightly around the contents
FrameMargins	Automatic	the margin in printer's points around the contents of a button
ImageSize	Full	the size of the button

ButtonData	Automatic	the second argument to supply to the button function
ButtonFunction	(pasting function)	the function to apply when the button is clicked
ButtonSource	Automatic	where to get the first argument of the button function
Enabled	Automatic	whether to make the button always active
Evaluator	None	where to send the button function expression for evaluation
Method	"Preemptive"	the evaluation method to use
Tooltip	None	the tooltip for the button
TooltipDelay	0.`	how long to delay before displaying the tooltip
TooltipStyle	{}	style specifications for the tooltip

ButtonBox[…] is by default interpreted as Button[…] if it is given as input to the Wolfram Language kernel.

Examples

Display a button that opens a new notebook window when clicked:

Display a button that assigns a random number to r:

See the value of r after clicking the button:

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