Background: Routine HIV pre-exposure prophylaxis (PrEP) and HIV care appointments provide opportunities for screening men who have sex with men (MSM) for hepatitis C virus infection (HCV). However, levels of screening required for achieving the WHO elimination target of reducing HCV incidence by 90% by 2030 among all MSM are unknown. Methods: An HCV/HIV transmission model was calibrated to UK prevalence of HIV among MSM (4¢7%) and chronic HCV infection among HIV-positive MSM (9¢9%) and HIV-negative MSM (1.2%). Assuming 12¢5% coverage of PrEP among HIV-negative MSM, we evaluated the relative reduction in overall HCV incidence by 2030 (compared to 2018 levels) of HCV screening every 12/6-months (alongside completing direct acting antiviral treatment within 6-months of diagnosis) in PrEP users and/or HIV-diagnosed MSM. We estimated the additional screening required among HIV-negative non-PrEP users to reduce overall incidence by 90% by 2030. The effect of 50% reduction in condom use among PrEP users (risk compensation) was estimated. Results: Screening and treating PrEP users for HCV every 12 or 6-months decreases HCV incidence by 67¢3% (uncertainty range 52¢7À79¢2%) or 70¢2% (57¢1À80¢8%), respectively, increasing to 75¢4% (59¢0À88¢6%) or 78¢8% (63¢9À90¢4%) if HIV-diagnosed MSM are also screened at same frequencies. Risk compensation reduces these latter projections by <10%. To reduce HCV incidence by 90% by 2030 without risk compensation, HIVnegative non-PrEP users require screening every 5¢6 (3¢8À9¢2) years if MSM on PrEP and HIV-diagnosed MSM are screened every 6-months, shortening to 4¢4 (3¢1À6¢6) years with risk compensation. For 25¢0% PrEP coverage, the HCV elimination target can be reached without screening HIV-negative MSM not on PrEP, irrespective of risk compensation. Interpretation: At low PrEP coverage, increased screening of all MSM is required to achieve the WHO HCVelimination targets for MSM in the UK, whereas at higher PrEP coverage this is possible through just screening HIV-diagnosed MSM and PrEP users.