The accessibility of high‐throughput phenotyping platforms in both the greenhouse and field, as well as the relatively low cost of unmanned aerial vehicles, has provided researchers with an effective means to characterize large populations throughout the growing season. These longitudinal phenotypes can provide important insight into plant development and responses to the environment. Despite the growing use of these new phenotyping approaches in plant breeding, the use of genomic prediction models for longitudinal phenotypes is limited in major crop species. The objective of this study was to demonstrate the utility of random regression (
RR
) models using Legendre polynomials for genomic prediction of shoot growth trajectories in rice (
Oryza sativa
). An estimate of shoot biomass, projected shoot area (
PSA
), was recorded over a period of 20 days for a panel of 357 diverse rice accessions using an image‐based greenhouse phenotyping platform. A
RR
that included a fixed second‐order Legendre polynomial, a random second‐order Legendre polynomial for the additive genetic effect, a first‐order Legendre polynomial for the environmental effect, and heterogeneous residual variances was used to model
PSA
trajectories. The utility of the
RR
model over a single time point (
TP
) approach, where
PSA
is fit at each time point independently, is shown through four prediction scenarios. In the first scenario, the
RR
and
TP
approaches were used to predict
PSA
for a set of lines lacking phenotypic data. The
RR
approach showed a 11.6% increase in prediction accuracy over the
TP
approach. Much of this improvement could be attributed to the greater additive genetic variance captured by the
RR
approach. The remaining scenarios focused forecasting future phenotypes using a subset of early time points for known lines with phenotypic data, as well new lines lacking phenotypic data. In all cases,
PSA
could be predicted with high accuracy (
r
: 0.79 to 0.89 and 0.55 to 0.58 for known and unknown lines, respectively). This study provides the first application of
RR
models for genomic prediction of a longitudinal trait in rice and demonstrates that
RR
models can be effectively used to improve the accuracy of genomic prediction for complex traits compared to a
TP
approach.