We produce the Auto weather strips for the windows of cars, buses, trucks. The weather strip comprises a main body having a water passage for draining rainwater, etc. And a water flow promoting member or members forming an integral part of the main body, provided in the water passage and containing a hydrophilic material. The main body is formed from EPDM rubber. The hydrophilic material is a hydrophilic polymer having good compatibility with the EPDM rubber. The water flow promoting member is bonded by vulcanization to the main body.