Amaranth species are C4 plants that are rich in betalains, and they are tolerant to salinity stress. A small family of plant-specific TCP transcription factors are involved in the response to salt stress. However, it has not been investigated whether amaranth TCP1 is involved in salt stress. We elucidated that the growth and physiology of amaranth were affected by salt concentrations of 50–200 mmol·L−1 NaCl. The data showed that shoot and root growth was inhibited at 200 mmol·L−1, while it was promoted at 50 mmol·L−1. Meanwhile, the plants also showed physiological responses, which indicated salt-induced injuries and adaptation to the salt stress. Moreover, AtrTCP1 promoted Arabidopsis seed germination. The germination rate of wild-type (WT) and 35S::AtrTCP1-GUS Arabidopsis seeds reached around 92% by the seventh day and 94.5% by the second day under normal conditions, respectively. With 150 mmol·L−1 NaCl treatment, the germination rate of the WT and 35S::AtrTCP1-GUS plant seeds was 27.0% by the seventh day and 93.0% by the fourth day, respectively. Under salt stress, the transformed 35S::AtrTCP1 plants bloomed when they grew 21.8 leaves after 16.2 days of treatment, which was earlier than the WT plants. The transformed Arabidopsis plants flowered early to resist salt stress. These results reveal amaranth’s growth and physiological responses to salt stress, and provide valuable information on the AtrTCP1 gene.