The method predict() for classes lm and glm with the argument type="terms" returns a matrix of term components. This matrix is expected to include an attribute 'constant'.
However, when the model is fitted with a na.action such as "na.exclude", this attribute is not included.
The error is likely to be generated by a call to napredict() within the function predict.lm(). This call re-inserts the missing values of the term matrix, preserving the original dimensionality, but also causes the additional attributes, such as 'constant', to be erased.

A simple example:

y <- rnorm(10)
x <- 1:10
x[3] <- NA

m <- lm(y~x)
predict(m,type="terms")

m1 <- update(m,na.action="na.exclude")
predict(m1,type="terms")