The new colors are Hydro Blue and Chromium Silver.
HomeLink lets owners open and close garage doors and security gates and control home-lighting systems.
"Availability of the Tucson Fuel Cell will expand to other regions of the U.S. consistent with the accelerating deployment of hydrogen refueling stations," Hyundai said in a statement.
The U.S. Department of Energy says there are 12 hydrogen refueling stations in the U.S., excluding private stations.
Customers can lease the 2016 Tucson Fuel Cell for $499 per month for a 36-month term, with a $2,999 down payment.
The lease deal includes unlimited complimentary hydrogen refueling and At Your Service Valet Maintenance, a program that is similar to one for the Hyundai Equus flagship sedan.
Customers get a free loaner vehicle when the Tucson Fuel Cell requires service.
Edmunds says: The Hyundai Tucson Fuel Cell is still limited to a very small audience, so consumers outside of southern California are playing a waiting game.