Its founding editors were Verner Emil Hoggatt Jr. and Alfred Brousseau;[1] the present editor is Professor Curtis Cooper of the Mathematics Department of the University of Central Missouri.

The journal includes research articles, expository articles, Elementary Problems and Solutions, Advanced Problems and Solutions, and announcements of interest to members of The Fibonacci Association.

Occasionally, the journal publishes special invited articles by distinguished mathematicians.

Many articles in The Fibonacci Quarterly deal directly with topics that are very closely related to Fibonacci numbers, such as Lucas numbers, the golden ratio, Zeckendorf representations, Binet forms, Fibonacci polynomials, and Chebyshev polynomials.

These include primes, pseudoprimes, graph colorings, Euler numbers, continued fractions, Stirling numbers, Pythagorean triples, Ramsey theory, Lucas-Bernoulli numbers, quadratic residues, higher-order recurrence sequences, nonlinear recurrence sequences, combinatorial proofs of number-theoretic identities, Diophantine equations, special matrices and determinants, the Collatz sequence, public-key crypto functions, elliptic curves, fractal dimension, hypergeometric functions, Fibonacci polytopes, geometry, graph theory, music, and art.