Since this question is quite old, but still comes up in google searches, I thought it would be good to point out the newer (and recommended) way to save Keras models. Instead of saving them using the older h5 format like has been shown before, it is now advised to use the SavedModel format, which is actually a dictionary that contains both the model configuration and the weights.
More information can be found here: https://www.tensorflow.org/guide/keras/save_and_serialize
The snippets to save & load can be found below:
model.fit(test_input, test_target)
# Calling save('my_model') creates a SavedModel folder 'my_model'.
model.save('my_model')
# It can be used to reconstruct the model identically.
reconstructed_model = keras.models.load_model('my_model')
A sample output of this :