I assume you are asking about JavaFX 2. If not, I suggest you update :)
Try putting this in a stylesheet:
.table-view {
-fx-table-cell-border-color: transparent;
}
Or call
tableObject.setStyle("-fx-table-cell-border-color: transparent;")
To keep the horizontal lines, I had to do the following
.table-view .table-row-cell {
-fx-border-width: 1;
}
, , ...