This paper is mainly devoted to a monotonically convergent (MC) switching iterative learning control (SILC) design for a class of continuous-time switched systems. It is assumed that the considered switching subsystems are operated during a finite time interval repetitively. After using the ILC process,the switched systems scheme can be transformed in to a 2D switching system. Based on an bounded real lemma (BRL) approach, a sufficient condition for monotonic convergence of SILC is to guarantee the asymptotic stability and the convergence of the output error between (subsystem/iteration). All the results are presented in terms of linear matrix inequalities (LMIs), while the switching learning gains could be determined directly by solving the LMIs. A numerical simulation example is established shown the effectiveness of the proposed method.