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; - 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, and 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; - wherein the canopy has an asymmetrical form, the rod is connected eccentrically to the canopy, and the tensioning members have differing lengths; - wherein in side view the asymmetrical form of the canopy substantially corresponds to a wing profile; and - wherein in top view the canopy is substantially egg-shaped; characterized in that the first and second tensioning members extend substantially parallel over some distance from their mutual connection, and herein define a contact surface which when loaded increases by generation of the first and second tensioning members (5a, 5b), the increased contact surface (A') thereby absorbing the load; and - wherein the tensioning members have a substantially lower bending stiffness in a first direction than in a second direction, whereby the second direction is transverse to the first direction, and the tensioning members, when loaded, bend into the first direction thereby increasing the contact surface. - 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; - 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, and 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; - wherein the canopy has an asymmetrical form, the rod is connected eccentrically to the canopy, and the tensioning members have differing lengths; - wherein in side view the asymmetrical form of the canopy substantially corresponds to a wing profile; and - wherein in top view the canopy is substantially egg-shaped; - wherein the tensioning members have a substantially lower bending stiffness in a first direction than in a second direction, whereby the second direction is transverse to the first direction, and the tensioning members, when loaded, bend into the first direction thereby increasing the contact surface.