Mitochondrial genome replication is asymmetric. Replication starts from the origin of heavy (H)-strand replication, displacing the parental H-strand as it proceeds along the molecule. The H-strand remains single stranded until light (L)-strand replication is initiated from a second origin of replication. It has been suggested that single-stranded H-strand DNA is more sensitive to mutational damage, giving rise to substitutional rate differences between the two strands and among genes in mammalian mitochondrial DNA. In this study, we analyzed sequences of the cytochrome b, ND4, ND4L, and COI genes of cyprinid fishes to investigate rates and patterns of nucleotide substitution in the mitochondrial genome. To test for strand-asymmetric mutation pressure, a likelihood-ratio test was developed and applied to the cyprinid sequences. Patterns of substitution and levels of strand-asymmetric mutation pressure were largely consistent with a mutation gradient between the H- and L-strand origins of replication. Significant strand bias was observed among rates of transitional substitution. However, biological interpretation of the direction and strength of strand asymmetry for specific classes of substitutions is problematic. The problem occurs because the rate of any single class of substitution inferred from one strand is actually a sum of rates on two strands. The validity of the likelihood-ratio test is not affected by this problem.