The rocker fell while skiing on 15 January (17) and he doesn't feel recovered enough to get back onstage with his R&B side project Soul Station.
On Wednesday (25Jan17) Paul took to Twitter and wrote: "MY APOLOGIES. Recovery from concussion will take a bit longer. I am postponing ALL FOUR California Soul Station shows Feb. 1-4. So sorry."
Stanley has had a number of physical setbacks over the years - last year (16), he underwent surgery to repair a torn bicep tendon, while in the past he has had his rotator cuffs and knees repaired, and his hip replaced.
Meanwhile, he is not the only celebrity resting up after a skiing accident - actor Tim Daly is recovering after breaking his ankle and knee in a fall on the slopes of Park City, Utah.