That's correct. Everybody needs to be able to produce an ID when asked for it by the police. Note however that it is not common for police to ask you for your ID, so not everybody carries it at all times. You get a fine if you don't have it on you or the police can take you to their station.
link (in dutch) http://www.rijksoverheid.nl/onderwerpen/paspoort-en-identifi...