Noise comes from the current or voltage fluctuations in devices. The three most common types of noise are thermal noise, 1/f noise, and shot noise. Correctly interpreting noise signal can provide extra information beyond common electron transport experiments. In this thesis, we used the noise signal to study the strongly correlated materials, and found interesting results in two different systems, a Mott insulator and a strange metal. This thesis starts from introduction of three common types of noise and their applications in Chapter 1, followed by the introduction of the Mott insulator in Chapter 2 and the strange metal in Chapter 3, especially V2O3 and YbRh2Si2 respectively. Then I introduce our noise measurement setup and calibration process in Chapter 4. In Chapter 5, we show our study of percolation and nano second fluctuators in the V2O3 metal insulator transition, through measuring both the low frequency(below 1MHz) and high frequency(10MHz-1GHz) 1/f noise spectrum dependence on bias and temperature. In Chapter 6, we shows our finding of strongly suppressed shot noise intensity in a YbRh2Si2 nanowire compared with a gold nanowire, and this may indicate the lack of well-defined quasiparticles in this strange metal. In Chapter 7, we discussed possible follow-up research based our projects. Supplementary information including probe design and experiments tips are attached in Appendix.