The invention concerns a method for producing three-dimensional objects (6) layer by layer using a powdery material which can be solidified by irradiating it with a beam (4) of charged particles, which method comprises the following steps: successive application of powder layers to a working area (5), and fusing together successive layers of said three-dimensional object (6) by successively irradiating the powdery layers with said beam (4). The invention is characterized in that it comprises the following steps: determining whether lifting of powdery material from the working area (5) occurs using a powder-lifting detection device (10, 10a, 10b, 10c, 1Od, 1Oe) capable of generating a signal (S) upon detection of lifting of powdery material from the working area (5), and interrupting the irradiation of at least a part of the working area (5) where powder lifting occurs using the signal (S) generated by the powder-lifting detection device (10, 10a, 10b, 10c, 10d, 1Oe) for automatically trigging the interruption. The invention also concerns an apparatus (1) for producing three-dimensional objects (6) layer by layer using a powdery material which can be solidified by irradiating it with a beam (4) of charged particles, said apparatus (1) comprising means for successive application of powder layers to a work table, and a radiation gun (3) for delivering said beam (4) of charged particles, wherein the inventive apparatus (1) comprises a powder-lifting detection device (10, 10a, 10b, 10c, 10d, 10e) capable of generating a signal (S) upon detection of lifting of powdery material from the working area (5).