Built in 1920, 343 West 12th Street is a boutique co-op with 11 units and 5 stories located on a coveted, quintessential brick West Village block and is pet-friendly. Located in the heart of the West Village, just 2 blocks to the Hudson River Park,. 13 beds multi-family (2-4 unit) located at 343 W 12TH St, San Pedro, CA sold for $369,800 on May 15, 2002. MLS# S320662. NOT UNDER RENT CONTROL. SHARP 3 UNIT BUILDING WITH HIGHER RENT POTENTIAL. BU. View 343 West 12th Street, New York, NY 10014, USA rent availability, including the monthly rent price, and browse photos of this 1 bed, 1 bath apartment. 343 West 12th Street, New York, NY. 343 West 12th Street Apartments. 343 W 12th St, New York, NY 10014 - Map. Map. No Availability. There are no available units at this time. Loading... Ratings. Walker's Paradise. 99.