CRISPR/Cas9 gene-editing technologies have been very effective in editing target genes in all major crop plants and offer unprecedented potentials in crop improvement. A major challenge in using CRISPR gene-editing technology for agricultural applications is that the target gene-edited crop plants need to be transgene free to maintain trait stability and to gain regulatory approval for commercial production. In this article, we present various strategies for generating transgene-free and target gene-edited crop plants. The CRISPR transgenes can be removed by genetic segregation if the crop plants are reproduced sexually. Marker-assisted tracking and eliminating transgenes greatly decrease the time and labor needed for identifying the ideal transgene-free plants. Transgenes can be programed to undergo self-elimination when CRISPR genes and suicide genes are sequentially activated, greatly accelerating the isolation of transgene-free and target gene-edited plants. Transgene-free plants can also be generated using approaches that are considered non-transgenic such as ribonucleoprotein transfection, transient expression of transgenes without DNA integration, and nano-biotechnology. Here, we discuss the advantages and disadvantages of the various strategies in generating transgene-free plants and provide guidance for adopting the best strategies in editing a crop plant.