Traditional knowledge reasoning methods based on representation learning can only be used for closed-world knowledge reasoning. Conducting open-world knowledge reasoning effectively is a hot issue currently. Therefore, a knowledge reasoning model based on path and enhanced triplet text, named PEOR (Path and Enhanced triplet text for Open world knowledge Reasoning), was proposed. First, multiple paths generated by structures between entity pairs and enhanced triplets generated by individual entity neighborhood structures were utilized. Among then, the path text was obtained by concatenating the text of triplets in the path, and the enhanced triplet text was obtained by concatenating the text of head entity neighborhood, relation, and tail entity neighborhood. Then, BERT (Bidirectional Encoder Representations from Transformers) was employed to encode the path text and enhanced triplet text separately. Finally, semantic matching attention calculation was performed using path vectors and triplet vectors, followed by aggregation of semantic information from multiple paths using semantic matching attention. Comparison experimental results on three open-world knowledge graph datasets: WN18RR, FB15k-237, and NELL-995 show that compared with suboptimal model BERTRL (BERT-based Relational Learning), the proposed model has Hits@10 (Hit ratio) metric improved by 2.6, 2.3 and 8.5 percentage points, respectively, validating the effectiveness of the proposed model.