We stayed in a hotel on Borgergade so this park was just round the corner. Nice spot to wander round, statue of Hans Christian Andersen and a kid's play area as well as fountains, cafes and toilets. Near to Rosenborg Slot there are some more formal gardens and the castle does look impressive. We were there just as spring approached...
This is a nice park in central CPH, but compared to some of the others around it (including the botanical gardens next door) this is a little manicured and artificial. Nice atmosphere and good to relax in on a sunny evening it just isn't quite as nice as the others around it.
We had a walk through the park a very cold February day. It's a nice and large park with a fun and cute playground for kids. Must say the park must be so much nice a warm summer day. In the park there is also Rosenborg Castle with holds the royal jewels.