Burke said there was "no prior warning" about the closure, which was revealed on 1 February and will lead to 210 redundancies.
However, last month St Ives said it was keeping the cost base of all its businesses under "active review". It also cut 125 jobs when it said it would stop web printing at its Direct plant in Leeds.
Burke said the first he had heard of the Gillingham closure was a phone call telling him that an announcement was to be made to the workforce. "The FOCs have told us the workforce were stunned and many of the staff were in tears," he added. "This is no way to treat over 200 loyal and hard working employees."
The union said it was consulting its lawyers about the closure. Chapel officials will also call for St Ives' European Works Council to be reconvened to discuss the announcement.
"Once again we are seeing capacity cutbacks when companies should be holding their nerves," said Burke.
St Ives managing director Brian Edwards said at the time of the announcement that there was "too much capacity chasing too little volume", adding that it was "a depressing decision to have to make".
Have your say in the Printweek Poll
Related stories
Latest comments
"Utilities, paper and ink but probably not transport, couriers, finisher’s for example"
"Bound to be, most likely those not key suppliers along with HMRC"
"And now watch for those reversion charges to come in thick and fast, for the slightest deviation from the mailing specification 😉😂"
Up next...
Xerox reinvention continues
Xerox to acquire Lexmark in $1.5bn A4 colour printing move
Moves to Brighouse
The Flow Group buys Modern Bookbinders, saving 94-year-old firm
Festive coverage
Wishing our wonderful readers a merry Christmas and happy New Year
Enables print up to 3.2m wide