Redford said in the leadership campaign that she supported a ban on smoking in vehicles carrying children to prevent their exposure to second-hand fumes.
She said the province is working on a plan, but it won't come piece by piece.
"We have not forgotten that was one of the things I talked about this summer," she told reporters in Calgary.
Redford made her promise as a result of a survey by the Campaign for a Smoke Free Alberta. She also noted she favoured legislation to restrict sales to minors, a ban on flavoured tobacco and higher taxes on tobacco products.
"What you're going to see from this government is not going to be one-off responses. We're very committed to following through on what was in that questionnaire in a number of areas, but we're going to do it in a way that's integrated into the rest of our policy planning."
Redford couldn't say when the new strategy would be introduced.
The City of Leduc, just south of Edmonton, has made it illegal for drivers to smoke in cars while children under 16 are in the vehicle.
Both Manitoba and Saskatchewan have legislation in place that prohibits smoking in automobiles when children are inside.
Former Alberta premier Ralph Klein, who was a smoker, rejected calls for a provincewide smoking ban when he was in charge.