The present invention relates to a canopy device, in particular an umbrella or parasol, comprising: a rod; a canopy of flexible material connected to the rod close to an end thereof; operating means displaceable along the rod for closing or opening the canopy; and means for tensioning the canopy, which canopy tensioning means comprise a set of first tensioning members and a set of second tensioning members, wherein the first tensioning members are each pivotally connected with one first outer end to the rod and extend therefrom along the canopy to a position close to the periphery thereof, and wherein the second tensioning members are each pivotally connected with a first outer end to the operating means and are connected with a second outer end to a corresponding first tensioning member, wherein the connection between the first and second tensioning members is arranged closer to the periphery of the canopy than to the rod, and is preferably situated substantially close to the periphery of the canopy.