A sheet conveying apparatus includes first and second conveyance roller pairs, a width-direction shifting unit, first and second drive units, and a control unit. The second conveyance roller pair is arranged downstream of the first conveyance roller pair to nip and convey the sheet conveyed by the first conveyance roller pair, and to bend the sheet. The width-direction shifting unit shifts the sheet nipped by the second conveyance roller pair in a width direction by shifting the second conveyance roller pair in the width direction. The control unit controls the first and second drive units so that a circumferential speed of the first conveyance roller pair is made higher than that of the second conveyance roller pair between when the second conveyance roller pair starts conveying the sheet and when the width-direction shifting unit completes shifting the second conveyance roller pair in the width direction.