The invention relates to a method for heap-leaching nickel from laterite by using sulfuric acid, and relates to a method for leaching and extracting nickel and cobalt from nickel-containing laterite, with a sulfuric acid heap-leaching technology. The invention is characterized in the leaching steps that: (1) laterite ore is crushed, and the crushed ore is heaped; (2) a sulfuric acid solution is uniformly distributed on the heap through spraying or drip irrigating; a leachate collected from a heap-leaching solution collecting pipe is delivered to a liquid collecting tank; acidity of the leachate is adjusted by added acid, and the leachate is delivered back to the heap, such that a solution circulated leaching is carried out; (3) when a content of valuable metal nickel in the leachate collected by the heap-leaching solution collecting pipe reaches a preset value, the collected leachate is delivered to a metal recovery system. The method provided by the invention has advantages of low investment and low operation cost. With the method, valuable metals in laterite such as nickel and cobalt can be effectively leached.