Company: CIF
Filing Date: 2025-07-28
Form Type: N-CSRS
Source: 0001683863-25-006222
Chunk: 0

Company: MFS INTERMEDIATE HIGH INCOME FUND
Filing Date: 2025-07-28
Form: N-CSRS
Chunk 0
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UNITED STATES

SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549

FORM N-CSR

CERTIFIED SHAREHOLDER REPORT OF REGISTERED MANAGEMENT INVESTMENT COMPANIES

Investment Company Act file number 811-05567

MFS INTERMEDIATE HIGH INCOME FUND

(Exact name of registrant as specified in charter)

111 Huntington Avenue, Boston, Massachusetts 02199 (Address of principal executive offices) (Zip code)

Christopher R. Bohane

Massachusetts Financial Services Company

111Huntington AvenueBoston, Massachusetts 02199

(Name and address of agents for service)

Registrant’s telephone number, including area code: (617) 954-5000

Date of fiscal year end: November 30

Date of reporting period: May 31, 2025

ITEM 1. REPORTS TO STOCKHOLDERS.

Item 1(a):

#### Semiannual Report
May 31, 2025

MFS ® Intermediate High 
 Income Fund

CIH-SEM

### MANAGED DISTRIBUTION POLICY
DISCLOSURE

The MFS Intermediate High Income
Fund’s (the fund) Board of Trustees adopted a managed distribution policy. The fund seeks to pay monthly distributions based on an annual rate of 9.50% of the fund’s average monthly net asset value. The
primary purpose of the managed distribution policy is to provide shareholders with a constant, but not guaranteed, fixed rate of distribution each month. You should not draw any conclusions about the fund’s
investment performance from the amount of the current distribution or from the terms of the fund’s managed distribution policy. The Board may amend or terminate the managed distribution policy at any time
without prior notice to fund shareholders. The amendment or termination of the managed distribution policy could have an adverse effect on the market price of the fund’s shares.

With each distribution, the fund
will issue a notice to shareholders and an accompanying press release which will provide detailed information regarding the amount and composition of the distribution and other related information. The amounts and
sources of distributions reported in the notice to shareholders are only estimates and are not being provided for tax reporting purposes. The actual amounts and sources of the amounts for tax reporting purposes will
depend upon the fund’s investment experience during the remainder of its fiscal year and may be subject to changes based on tax regulations. The fund will send you a Form 1099-DIV for the calendar year that will
tell you how to report these distributions for federal