A pressure measuring device includes a pressure gauge having a pressure measuring member, at least one connection line which connects the pressure gauge to a measured media source, a connection block which is fluidically connected to the pressure gauge, a heating element and/or cooling element which controls a temperature of the connection block, and at least one closable vent hole which is arranged in the connection block. A section of the at least one connection line which is connected to the pressure measuring member is arranged in the connection block. The at least one closable vent hole is arranged to branch off from the at least one connection line in an ascending manner and to open above the at least one connection line.