The Kirkwood-Dirac distribution of arbitrary quantum state is a set of complex joint probabilities for two non-commuting observables. We investigated the reconstructions of complex joint probabilities before the measurement was performed from the experimental data.The experiment have gone using sequential measurements of arbitrary polarization state with variable intermediate measurement strength and then, the complex joint probabilities can be reconstructed by our statistical methods with considerations for all measurement effects. We confirmed that the reconstructed joint probabilities are independent of the measurement strength at each initial state and good agreements with the predictions of the Kirkwood-Dirac distribution.