Portable laser cutter capable of moving on cutting surface

The invention discloses a portable laser cutter capable of moving on a cutting surface. The portable laser cutter comprises a machine main body, wherein a cutting cavity opened downward is formed in the machine main body, a cutting device is arranged in the cutting cavity and comprises a sliding block capable of sliding up and down in the cutting cavity, a lifting device is arranged on the back side of the cutting cavity, and the sliding block is in power connection to the lifting device. The portable laser cutter can guarantee a relatively small cutting width and is relatively high in precision. Focused spots are relatively fine, so that the cutting surface is relatively level and smooth. Burrs or slag are avoided on the surface. The portable laser cutter is relatively suitable for processing a small workpiece or a plane metal sheet part. Compared with a large model laser cutter, the portable laser cutter is relatively low in needed power and high in cutting speed. Meanwhile, the portable laser cutter is rel