The present invention describes methods for the cryopreservation of duckweed plants and duckweed plant tissues. The methods comprise freezing a dehydrated duckweed frond colony to a cryopreservative temperature to obtain a frozen frond colony comprising at least one cryopreserved duckweed plant or a cryopreserved duckweed plant tissue. The method can comprise a dehydration step whereby a duckweed frond colony is dehydrated, and in some embodiments, can further comprise a dormancy-induction step prior to or during the dehydration step. The method further can further comprise a recovery step, wherein the frozen frond colony is thawed and a viable duckweed plant or duckweed plant tissue is recovered. Cryopreserved duckweed plants and duckweed plant tissues, and viable duckweed plants and duckweed tissues recovered therefrom are also provided. In some embodiments, the duckweed frond colony, duckweed plant, and duckweed tissue comprise a heterologous polynucleotide of interest, which can encode a heterologous polypeptide of interest.