One of Hawaii’s oldest construction companies has its eye on the historic News Building in Kakaako as a possible site for its new headquarters.

Hawaiian Dredging Construction Co. has signed a letter of intent to buy the former home of The Hono­lulu Advertiser and Star-Bulletin newspapers on the corner of Kapiolani Boulevard and South Street.

A roughly 35,000-square-foot main section of the building — the original structure that was completed in 1929 and later expanded with additions that are being demolished to make way for a condominium tower, would become Hawaiian Dredging’s headquarters if the tentative deal results in a sale.

Bill Wilson, president of Hawaiian Dredging, said a significant assessment of the building will need to be made to see whether it will suit the company’s needs.

A purchase price is not being disclosed.

Hawaiian Dredging is the general contractor for the condo project 801 South St., which is being developed by Downtown Capital LLC, led by veteran local affordable housing developer Marshall Hung.

Hawaiian Dredging, which was founded in 1902 and has been owned since 2002 by the U.S. affiliate of Japa­nese-based Kajima Corp., leases office space downtown in the City Financial Tower at 201 Merchant St.

The News Building was built in 1929 with a red-tile roof and Renaissance Revival decorative architecture as the headquarters for the Advertiser, and later also became the home of the Star-Bulletin.

After the Star-Bulletin and Advertiser merged in 2010, the building was vacated and leased to the producer of “Hawaii Five-0” for filming, offices and other uses.

Downtown Capital bought the 3.7-acre property last year for $22 million from former Advertiser owner Gannett Co.

The developer plans two affordable-housing condo towers on the site, and recently started demolishing mainly warehouse structures on the site to make way for the first tower. Production of “Hawaii Five-0” relocated to the Hawaii Film Studio.