Recently, graph neural architecture search (GNAS) has become an increasingly hot research topic as a promising technique for automatically searching graph neural networks (GNNs) with no or little domain expertise. The search space and optimization strategy are the core factors of GNAS. However, the search space of existing GNAS methods is limited, and their optimization strategies treat components indiscriminately. In the current study, a more expressive search space is first designed. Subsequently, it is illustrated that components contribute different importance to data-specific tasks or datasets, and this study assumes component importance as a probability parameter. To this end, a component importance preference-based evolutionary GNAS method (called CIPE) is proposed. CIPE defines component importance and its preference selection and updating method. Subsequently, the designed importance preference-guided multipoint crossover and multistrategy mutation operators are applied to the evolutionary process. Finally, the effectiveness of CIPE is verified for transductive and inductive tasks. The experimental results demonstrate the validity of the component importance assumption and the superiority of CIPE compared with the state-of-the-art handcrafted GNNs and GNAS methods on all eight datasets. The mean accuracy obtained by CIPE on the datasets Cora, CiteSeer, PubMed, Cornell, Texas, Wisconsin, and Chameleon is 83.84%, 73.23%, 80.28%, 78.38%, 86.49%, 82.35%, and 73.59%, respectively. Specifically, the mean accuracy is improved by 2.71% and 5.28% on the datasets Texas and Chameleon, respectively. The mean F1-score obtained by CIPE on the dataset PPI is 99.37%, with an improvement of 0.24%. The code is available at https://github.com/chnyliu/CIPE.