In the simple random walk the steps are independent, that is., the walker has no memory. In contrast, in the elephant random walk (ERW), which was introduced by Schutz and Trimper [9] in 2004, the next step always depends on the whole path so far. One extension, as suggested recently by Bercu et al. [2], is to allow for delays, that is, to put mass at zero. Our aim is to extend results for the ordinary ERW to elephant random walks with delays (ERWD).