"We are calling him Spiderman. Compared to other thieves he is in a class of his own with regard to the heights and the audacity. The climbing is very advanced," detective inspector Sven Hallsjö told the Metro newspaper.
The intrepid burglar is reported to have bypassed the more accessible targets of ground floor apartments and chose instead to look for loot in the homes of holidaying Swedes on the second and third floors of several buildings in the Södermalm area of the city.
The break ins were all reported in August and occurred both during broad daylight and under the cover of nightfall.
The police report that they have as yet very little to go on.
A witness has described seeing someone who resembles a man, and aside from that there is evidence of a foot print on a building facade as well as a fragment from a gardening glove.
Victims of the mysterious "Spiderman" have reported the loss of items including cash, jewellery and notebook computers.