Company: AHL
Filing Date: 2025-06-06
Form Type: 6-K
Source: 0001267395-25-000029
Chunk: 0

Company: ASPEN INSURANCE HOLDINGS LTD
Filing Date: 2025-06-06
Form: 6-K
Chunk 0
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### UNITED STATES

### SECURITIES AND EXCHANGE COMMISSION

#### Washington, D.C. 20549

#### Form 6-K
<div align='center'>REPORT OF FOREIGN PRIVATE ISSUER PURSUANT TO RULE 13a-16 OR 15d-16 UNDER THE SECURITIES</div>

#### EXCHANGE ACT OF 1934
<div align='center'>For the month of June 2025

Commission File Number: 001-31909</div>

### ASPEN INSURANCE HOLDINGS LIMITED
<div align='center'>(Translation of registrant’s name into English)</div>

#### 141 Front Street

#### Hamilton HM 19

#### Bermuda
<div align='center'>(Address of principal executive office)</div>

Indicate by check mark whether the registrant files or will file annual reports under cover of Form 20-F or Form 40-F.

Form 20-F ý Form 40-F ¨

On June 6, 2025, the Financial Condition Report (the “FCR”) for Aspen Insurance Holdings Limited and its subsidiaries (together, the “Company”) for the year ending December 31, 2024 was published on the Company’s website, www.aspen.co, in the “Investors” section under “Other,” “Solvency Reports.” The FCR has been filed with the Bermuda Monetary Authority and includes, among other things, details of the Company’s business and performance, governance, risk management framework, legal, regulatory and compliance structure, risk profile, solvency valuation and capital management.

The information included in this Form 6-K is being furnished and shall not be deemed “filed” for purposes of Section 18 of the Securities Exchange Act of 1934, as amended (the “Exchange Act”), or incorporated by reference in any filing under the Securities Act of 1933, as amended, or the Exchange Act, except as shall be expressly set forth by specific reference in such filing.

### SIGNATURES
Pursuant to the requirements of the Securities Exchange Act of 1934, the registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.

| Dated: June 6, 2025 |     | ASPEN INSURANCE HOLDINGS LIMITED 
 By:                              |     | /s/ Mark Pickering      |
|:--------------------|:----|:---------------------------------|:----|:------------------------|
|                     |     |