The emission characteristics of InAs/InGaAs quantum dot microdisk lasers of different cavity diameters with a top split electrical contact formed using the focused ion beam technique are investigated. The dependences of the threshold currents of two-state lasing (i.e. currents corresponding to the start of the ground- and excited-state lasing) for microdisks of 24 and 28 μm diameters on the electrical contact area are presented. The contact area was found to influence on the threshold currents of two-state lasing in microdisks. It is shown that a decrease in the area of the injecting electrical contact leads to a decrease in the current corresponding to the start of excited-state lasing, while the ground-state lasing threshold remains virtually unchanged. The temperature evolution of the threshold currents for two-state lasing was also studied in the microdisks with different electrical contact areas. We demonstrate that the use of contacts of different areas is a method of controlling the threshold currents of two-state lasing and can be used at engineering of quantum dot lasers intended, for example, for multi-level signal transmission with wavelength multiplexing by switching from the ground-state to excited-state lasing.