Dear student,
The pulmonary arttery has more pressure than pulmonary vein because walls of pulomary artery is thick and it carries deoxygenated blood to lungs. The blood pressure is pulmonary artery is more as it starts from ventricular side.
The order of the pressure in different blood vessels is: Artery > Arteriole > Capillary > Venule > Vena Cava
Regards.