The present invention relates to a method and to a device for detecting the entry of air in a fluid system, in particular in an extracorporeal blood circuit of a blood treatment device comprising an arterial branch leading to the blood treatment unit and a venous branch leading from said blood treatment unit. Periodic fluctuations in the fluid system, in particular in the arterial tube, are measured upstream of the blood pump arranged in said arterial tube. The measured periodic pressure signal is analyzed spectrally in a system of functions, in particular a system of orthogonal functions, for example sine and cosine functions and the entry of air is deduced if at least one of the coefficients of the functions exceeds or falls below predefined threshold values.