The human fungal pathogen Candida albicans poses a significant burden on global health, causing high rates of mortality and antifungal drug resistance. C. albicans is a heterozygous diploid organism that reproduces asexually. Structural variants (SVs) are an important source of genomic rearrangement, particularly in species that lack sexual recombination. To comprehensively investigate SVs across clinical isolates of C. albicans, we conducted long read sequencing and genome-wide SV analysis in three distantly related clinical isolates. Our work included a new, comprehensive analysis of transposable element (TE) composition, location and diversity. SVs and TEs are frequently close to coding sequences and many SVs are heterozygous, suggesting that SVs might impact gene and allele-specific expression. Most SVs are uniquely present in only one clinical isolate, indicating that SVs represent a significant source of intra-species genetic variation. We identified multiple, distinct SVs at the centromeres of Chromosome 4 and Chromosome 5, including inversions and transposon polymorphisms. These two chromosomes are often aneuploid in drug resistant clinical isolates, and can form isochromosome structures with breakpoints near the centromere. Further screening of 100 clinical isolates confirmed the widespread presence of centromeric SVs in C. albicans, often appearing in a heterozygous state, indicating that SVs are contributing to centromere evolution in C. albicans Together, these findings highlight that SVs and TEs are common across diverse clinical isolates of C. albicans and that the centromeres of this organism are important sites of genome rearrangement.