Magnetic fields are ubiquitous in the universe, such as Earth, Sun, supernova remnants, nebulae, giants, neutron stars, black holes and so on. Despite their widespread presence, there remain numerous unanswered questions about astronomical magnetic fields. For instance, how are initial magnetic fields generated? How do magnetic fields undergo amplification? With the advent of high-power, high-energy laser facilities, laboratory astrophysics provides a new method to the study of astrophysical problems in a controlled laboratory setting, where researchers recreate extreme physical conditions similar to those found in astrophysical objects or their surroundings. The benefits of this method include the short distance, activity, controlled condition and reproducibility. Under the scaling laws, laboratory plasmas can study the origin and amplification of astrophysical magnetic fields. Various measurement techniques are employed in current laboratory studies to assess magnetic fields, including magnetic probes, magnetic tapes, Zeeman effect, Faraday rotation, and proton radiography. Understanding the principles and characteristics of these diagnostic methods is essential in selecting the appropriate method for measuring magnetic fields in experiments.