In this paper, we study the strong regularity of left $SF$−rings and obtain the following results: Let $R$ be a left $SF$−ring. If $R$ satisfies one of the following conditions, then $R$ is a strongly regular ring: 1) $R$ is a left WZI ring; 2) $R$ is a right WZI ring; 3) $R$ is a left PZI ring; 4) $R$ is a right PZI ring; 5) $R$ is a semicommutative ring; 6) $R$ is a reversible ring.