Governor Ralph Northam is expected to sign the Virginia Clean Economy Act into law by 3 March.
The law requires 2.6GW of offshore wind to be installed by 2030, and a further 2.6GW by the start of 2034.
The state currently has a voluntary renewable portfolio standard.
The act also establishes one of the US's most aggressive energy storage targets — 2.4GW by 2035 — and encourages regulators to create a cap and trade programme for CO2.
Dominion Energy has submitted plans for 2.64GW in wind development off Virginia. The three-phase project is expected to be installed by about 2026, according to Windpower Intelligence, the data arm of Windpower Monthly.
Construction has already started on Dominion's 12MW Coastal Virginia Offshore Wind pilot project.
Featuring a design that is meant to withstand hurricanes, it is due online this year, featuring two Siemens Gamesa Renewable Energy (SGRE) SWT-6.0-154 turbines.
SGRE has also been selected as the preferred supplier of the 2.64GW project.
Earlier in February, utility Dominion unveiled a 100% net-zero emissions plan.