The two cricketers, who had reportedly got into a physical altercation with each other at an Auckland bar during the night out, were dropped from the second match by coach Mike Hesson yesterday.
Bracewell, who is nursing a broken bone in his foot, has flown back to Napier.
New Zealand Cricket operations boss Lindsay Crocker said the players had accepted the charge of misconduct and were fined an undisclosed amount.
Crocker said: "The New Zealand selectors place great emphasis on qualities such as personal responsibility, trustworthiness and dependability and will continue to do so with our encouragement.
"All players in contention for the Black Caps need to satisfy the selectors of their commitment to prepare conscientiously for international fixtures," he added.
According to reports, Ryder is unlikely to be considered for the World Twenty20 squad, the announcement of which has been pushed to Sunday after the latest drama.
The 29-year-old Ryder, who has a history of alcohol-related misdemeanours, had returned to the New Zealand side on Boxing Day after a self-imposed exile of 22 months to sort out his personal issues.
Ryder and Bracewell did not play the first Test but were on standby if there were any injuries to any of the players.
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