Notice the shape of the F clef. It actually looks like a cursive F. The two dots function as the two lines that come off the stem of the letter F. In fact, the letter F is what the bass clef is based on.
Remember that the F clef has two dots that lie on either side of the F line. These two dots are a second way to remember the F clef. By remembering that the dots surround F, it becomes more difficult to forget its name.
Learn how the F clef is used in music. The F clef is used for instruments that play the majority of their pitches below middle C. If you remember that the F clef illustrates the first F below middle C, this will help you identify the clef.
Learn the names of the notes in the F clef. There are five lines and four spaces. The spaces spell the letters A C E G, and the lines spell G B D F A. Think of a sentence to remember these pitches. "All Cows Eat Grass," and "Good Boys Do Fine Always" are two commonly used ones.
Copy the clef on a sheet of staff paper several times to help you remember what the clef looks like.