Press-fit holes are plated through holes with tighter tolerances than the standard +/-0.10mm. Press-fit holes fit the leads of connectors that will not be soldered but pressed into the holes. To accommodate lead and hole to tightly fit together, the tolerances are well defined and more tight than standard.
The typical tolerances for the PTH depends on the type of connector, which is specified by the connector manufacturer.
Therefore it is of utmost importance that these tolerances are well defined in your PCB data and that the parameter “Press fit” is checked in the order details.
More info on standard holes to compare with the spec on press fit can be found here