This is the third round of fundraising for the portfolio, with the management launching a £53m fundraise just over 12 months ago.
The portfolio is invested in about 45 smaller business-to-business software companies, which are typically more early stage.
The management team sits within Octopus Ventures, the firm's European venture capital team, and is made up of 13 members.
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Richard Court, fund manager on Apollo VCT, said: "Over the past year, Apollo VCT has demonstrated its ability to maintain robust performance through the current challenging macroeconomic backdrop.
"This is aided by the fact that the technology companies Apollo invests in sell their products to other businesses, which often means their revenues are contracted and recurring, making them more predictable and less vulnerable even in difficult economic circumstances."
The deadline to apply for the new fundraise is 12 December, with the next allotment date scheduled for the following week (19 December).
Jess Franks, head of investment products at Octopus Investments, added: "Over the past five years, we have seen VCTs become a more mainstream product for advisers, and we do not expect that trend to change."