This study investigated genetic correlations of longissimus muscle fatty acid composition with 32 traits related to growth, carcass, fat deposition and meat quality in 2448 pigs from six populations using genome wide SNP data. Most of significant loci for saturated (C14:0, C16:0 and C18:0) and mono-saturated fatty acids (C18:1n9 and C16:1n7) identified in GWAS, including those near ELOVL6, SCD and FASN genes, displayed negligible or weak effects on all the 32 traits. Fat deposition traits were the most relevant traits for fatty acid composition in genetic correlations. Backfat thickness and intramuscular fat content consistently showed strong negative genetic correlations with C18:2n6, and positive genetic correlations with C18:1n9 at least five populations. Intramuscular fat content consistently has positive correlations with saturated fatty acids (SFA) in six populations. This study provided insights into shared genetic control of fatty acid composition and the other economic traits, which is helpful in design of breeding strategies to genetically improve fatty acid composition in pork.