respect to the vehicle passenger room the short arm 53 is made of resin and is formed as a fine plate shape shorter than the long arm 52 a short arm side connector projection 530 projects from the short arm 53 at the outer end with respect to the vehicle passenger room the short arm side connector projection 530 is fitted into the long arm side connector hole 521 a short arm side connector hole 531 is bored through the short arm 53 at the inner end with respect to the vehicle passenger room a receiving shaft 320 of a damper interlocking fin member 35 is fitted into and fastened to the short arm side connector hole 531 fig5 a and 5 b illustrate a link mechanism for the air conditioning register 1 according to example no 3 fig5 a shows a position for blowing the air conditioning air substantially horizontally fig5 b shows the close position note that only the four horizontal fin members 30 connected by the connecting rod 4 are operable at the open position e g a position at which the flow of the air conditioning air is allowed and which includes the position for blowing.